A107616 Triangle read by rows, generated from arithmetic sequences.

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

Offset

1,3

Links

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

Formula

Row terms of A077028 are considered as coefficients to generating functions such that n-th row of A077028 becomes the generator for n-th 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).
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;
  ...

Crossrefs

Cf. A077028.

Sequence in context: A171275 A335312 A284873 * A055208 A051128 A137614

Adjacent sequences: A107613 A107614 A107615 * A107617 A107618 A107619

Keyword

nonn,tabl

Author

Gary W. Adamson, May 17 2005

Status

approved