

A107616


Triangle read by rows, generated from arithmetic sequences.


1



1, 1, 2, 1, 3, 4, 1, 4, 9, 8, 1, 5, 16, 27, 15, 1, 6, 25, 64, 77, 26, 1, 7, 36, 125, 247, 207, 42, 1, 8, 49, 216, 609, 916, 529, 64
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OFFSET

1,3


COMMENTS

First few rows of the triangle are: 1; 1, 2; 1, 3, 4; 1, 4, 9, 8; 1, 5, 16, 27, 15; 1, 6, 25, 64, 77, 26; ...


LINKS

Table of n, a(n) for n=1..36.


FORMULA

Row terms of A077028 are considered as coefficients to generating functions such that nth row of A077028 becomes the generator for nth column of A107616.


EXAMPLE

Row 4 of A077028 is [1, 3, 3, 1] which becomes f(x): x^3 + 3x^2 + 3x + 1. Given x = 1,2,3...; f(x) generates 8, 27, 64, 125, ... (4th offset column of A107616).


CROSSREFS

Cf. A077028.
Sequence in context: A125103 A171275 A284873 * A055208 A051128 A137614
Adjacent sequences: A107613 A107614 A107615 * A107617 A107618 A107619


KEYWORD

nonn,tabl


AUTHOR

Gary W. Adamson, May 17 2005


STATUS

approved



