W. Lang: Clear form of 'Formatting of OEIS tabl and tabf arrays'
(primitive version, using MapleV)



2001


See also: Elaborate (Maple 12) version allowing also for OEIS A-number inputs.

Formatting OEIS tabl and tabf arrays

lower triangular matrix (tabl),    staircase matrix (tabf)

alist: 

flist, only necessary for tabf arrays:

offset for rows and columns (integers):           

A-number (OEIS A-number if known; omit leading A with zeros)    

    restore example


Explanations:

  • 'alist' is the string of integers (don't use + signs), enclosed by brackets [ ] and separated by commas (insensitive to blanks, no comma after last number) representing a tabl or tabf sequence as defined in OEIS under 'Keywords'.
  • 'flist' is used only for 'tabf' arrays, and the entries of this string give the sequence of step widths (the difference of the number of entries in consecutive rows, starting with the number of entries of the first row).
  • 'offset' is a string with two integers: the row offset and the column offset of the array when formatted as matrix entries a(n,m) with n for rows, m for columns.
  • 'A-number' will appear in the caption of the formatted output. Some number should be inserted, e.g. 0. If a 'tabl' or 'tabf' array from OEIS is to be formatted its A-number can be inserted (without the 'A', and leading zeros are irrelevant).
The output will be a complete matrix type array (the 'alist' string is cut off, depeding on the 'flist' string which in the tabl case is the sequence of ten 1's). If numbers become too big an error message will be given. Truncation of the 'alist' or the 'flist' should help to circumvent this.

Acknowledgements:

This application would not exist without advice and help from Bernd Feucht, Gerrit Jahn, Christoph Mayer and, especially, from Dr. Thomas Hahn.




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