W. Lang, Apr 30 2010

A176728/A176729  z-sequence for the Sheffer triangle  A060081.

For a- and z-sequences for Sheffer triangles and the recurrences for the triangle entries  implied by them see the W. Lang link under A006232.

Rationals A176728(n)/A176729(n)  with leading 0 (when offset is 0), for n=0..60:

[0, 1/2, 0, -1/4, 0, -17/6, 0, -1955/24, 0, -44089/10, 0, -4627969/12, 0, -10431967727/210, 0, -424734574531/48, 0, -187497600357613/90, 0, 
-263146180762981877/420, 0, -77335840394370605087/330, 0, -38414950218116664660463/360, 0, -95193934978797641162562791/1638, 0, 
-1044549307308161782597280065/28, 0, -836232289988098415162220532417/30, 0, -177299548478114781274290003769744487/7392, 0, 
-12009378431787070541406864702660421031/510, 0, -941849143725423169114728783942523655329/36, 0, 
-1694021362174822400774722904819675854826492453/51870, 0, -38231098985016191103707288721632250954621420533/840, 0,
 -487891064818524773771157431366606133301502616150013/6930, 0, -1666770082799964387074690759798720174497678443079782587/13860, 0, 
-1090482675246649848609839860995724151887936858007746728137/4830, 0, 
-467602483513326561046930410219052057122986691592289187583189/1008, 0,
 -103337995603381741579417618972983007882779155070843168586919293421/99450, 0, 
-13015949892267274899994941954598174403734100022190145273561288162051/5148, 0,
 -19782947714808155263551073030337379437678424017878913247363082460209799/2970, 0, 
-60463174248118014557666208231331110088039434339590236366680937681474068953/3192, 0, 
-50444673571592536188296983753776652717132538792353858211095267181355335900663/870, 0, 
-34298570089919093234204555551637723169703467453884992376005658943861254094625091/180].

Numerators  A176728(n), n=0..60:

[0, 1, 0, -1, 0, -17, 0, -1955, 0, -44089, 0, -4627969, 0, -10431967727, 0, -424734574531, 0, -187497600357613, 0, -263146180762981877, 0, 
-77335840394370605087, 0, -38414950218116664660463, 0, -95193934978797641162562791, 0, -1044549307308161782597280065, 0, 
-836232289988098415162220532417, 0, -177299548478114781274290003769744487, 0, -12009378431787070541406864702660421031, 0, 
-941849143725423169114728783942523655329, 0, -1694021362174822400774722904819675854826492453, 0, 
-38231098985016191103707288721632250954621420533, 0, -487891064818524773771157431366606133301502616150013, 0, 
-1666770082799964387074690759798720174497678443079782587, 0, -1090482675246649848609839860995724151887936858007746728137, 0, 
-467602483513326561046930410219052057122986691592289187583189, 0, 
-103337995603381741579417618972983007882779155070843168586919293421, 0, 
-13015949892267274899994941954598174403734100022190145273561288162051, 0, 
-19782947714808155263551073030337379437678424017878913247363082460209799, 0,
 -60463174248118014557666208231331110088039434339590236366680937681474068953, 0, 
-50444673571592536188296983753776652717132538792353858211095267181355335900663, 0, 
-34298570089919093234204555551637723169703467453884992376005658943861254094625091].


Denominators  A176729(n), n=0..60:

[1,1, 2, 1, 4, 1, 6, 1, 24, 1, 10, 1, 12, 1, 210, 1, 48, 1, 90, 1, 420, 1, 330, 1, 360, 1, 1638, 1, 28, 1, 30, 1, 7392, 1, 510, 1, 36, 1, 51870, 
1, 840, 1, 6930, 1, 13860, 1, 4830, 1, 1008, 1, 99450, 1, 5148, 1, 2970, 1, 3192, 1, 870, 1, 180].


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