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A317552 Irregular triangle where T(n,k) is the sum of coefficients in the expansion of p(y) in terms of Schur functions, where p is power-sum symmetric functions and y is the integer partition with Heinz number A215366(n,k). 14
1, 0, 2, 1, 0, 4, 0, 2, 1, 0, 10, 1, 0, 0, 2, 2, 0, 26, 0, 0, 1, 4, 0, 0, 0, 4, 4, 0, 76, 1, 0, 0, 0, 0, 2, 2, 4, 0, 0, 0, 8, 10, 0, 232, 0, 1, 0, 4, 0, 1, 0, 0, 0, 0, 12, 0, 4, 2, 8, 0, 0, 0, 20, 26, 0, 764, 1, 0, 0, 0, 2, 0, 0, 4, 2, 0, 0, 1, 10, 0, 0, 0, 0 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

Is this sequence nonnegative? If so, is there a combinatorial interpretation?

LINKS

Table of n, a(n) for n=1..83.

EXAMPLE

Triangle begins:

   1

   0   2

   1   0   4

   0   2   1   0  10

   1   0   0   2   2   0  26

   0   0   1   4   0   0   0   4   4   0  76

   1   0   0   0   0   2   2   4   0   0   0   8  10   0 232

A215366(6,4) = 25 corresponds to the partition (33). Since p(33) = s(6) + 2 s(33) - s(51) + 2 s(222) - 2 s(321) + s(411) + s(3111) - s(21111) + s(111111) has sum of coefficients 1 + 2 - 1 + 2 - 2 + 1 + 1 - 1 + 1 = 4, we conclude T(6,4) = 4.

CROSSREFS

Last column is A000085. Row sums are A082733.

Cf. A056239, A093641, A153452, A153734, A215366, A296188, A296561, A299699, A305940, A317554.

Sequence in context: A185964 A143424 A130125 * A214809 A137336 A115322

Adjacent sequences:  A317549 A317550 A317551 * A317553 A317554 A317555

KEYWORD

nonn,tabf

AUTHOR

Gus Wiseman, Sep 14 2018

STATUS

approved

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Last modified May 28 17:28 EDT 2020. Contains 334684 sequences. (Running on oeis4.)