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A174740 Triangle read by rows, A027293 * A147843, row sums = A000203, left border = the partition numbers, A000041 3
1, 1, 2, 2, 2, 3, 4, 5, 6, -5, 7, 10, -5, 11, 14, -10, -7, 15, 22, -15, 7, 22, 30, -25, -14, 22, 30, -25, -14, 30, 44, -35, -21, 42, 60, -55, -35, 56, 84, -75, -49, 12, 77, 112, -110, -77, 12, 101, 154, -150, -105, 24, 13, 202, -210, -54, 36, 15 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

Row sums = sigma(n), left border = the partition numbers, A000041

LINKS

Table of n, a(n) for n=1..58.

FORMULA

Given A027293, an infinite lower triangular Toeplitz matrix with the partition

numbers in every column, and A147843 = M; a diagonalized variant of Euler's

pentagonal numbers, A174740 = Q*M.

EXAMPLE

First few rows of the triangle =

1;

1, 2;

2, 2;

3, 4;

5, 6, -5;

7, 10, -5;

11, 14, -10, -7;

15, 22, -15, -7;

22, 30, -25, -14;

30, 44, -35, -21;

42, 60, -55, -35;

56, 84, -75, -49, 12;

77, 112, -110, -77, 12;

101, 154, -150, 0105, 24;

135, 202, -210, -54, 36, 15;

176, 270, -280, 210, 60, 15;

231, 352, -385, -294, 84, 30;

297, 462, -505, -392, 132, 45;

...

CROSSREFS

Cf. A027293, A147843, A000041, A000203

Sequence in context: A258741 A036016 A051918 * A163801 A323735 A233583

Adjacent sequences: A174737 A174738 A174739 * A174741 A174742 A174743

KEYWORD

tabf,sign

AUTHOR

Gary W. Adamson, Mar 28 2010

STATUS

approved

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Last modified November 29 15:30 EST 2022. Contains 358431 sequences. (Running on oeis4.)