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A128626 A triangular array distributing the values of sequence A072213 (cf. A115994). 2
1, 4, 1, 9, 20, 1, 16, 140, 74, 1, 25, 572, 1136, 224, 1, 36, 1785, 8866, 6685, 604, 1, 49, 4600, 47152, 88380, 31851, 1492, 1, 64, 10416, 194282, 737059, 665542, 130808, 3458, 1, 81, 21320, 665769, 4512584, 8211274, 4105870, 479826, 7602, 1, 100, 40425 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Nathaniel Johnston, Table of n, a(n) for n = 0..209

EXAMPLE

A115994 distributes the numeric partition sequence A000041 and A072213 records partition values for sequence A000290 (the squares).

Therefore the table begins:

   1;

   4,    1;

   9,   20,     1;

  16,  140,    74,     1;

  25,  572,  1136,   224,     1;

  36, 1785,  8866,  6685,   604,    1;

  49, 4600, 47152, 88380, 31851, 1492, 1;

  ...

MAPLE

nn:=8: g:=sum(t^k*q^(k^2)/product((1-q^j)^2, j=1..k), k=1..nn): gser:=series(g, q=0, nn^2+1): for n from 1 to nn do P[n]:=coeff(gser, q^(n^2)) od: for n from 1 to nn do seq(coeff(P[n], t^j), j=1..n); od; # Nathaniel Johnston, Apr 30 2011

CROSSREFS

Cf. A000041, A000290, A115994.

Sequence in context: A001254 A143763 A278350 * A193963 A028941 A348180

Adjacent sequences:  A128623 A128624 A128625 * A128627 A128628 A128629

KEYWORD

nonn,tabl

AUTHOR

Alford Arnold, Mar 15 2007

STATUS

approved

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Last modified January 17 13:41 EST 2022. Contains 350396 sequences. (Running on oeis4.)