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A107616 Triangle read by rows, generated from arithmetic sequences. 1

%I #5 Mar 14 2015 09:58:47

%S 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,

%T 42,1,8,49,216,609,916,529,64

%N Triangle read by rows, generated from arithmetic sequences.

%C 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; ...

%F 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.

%e 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).

%Y Cf. A077028.

%K nonn,tabl

%O 1,3

%A _Gary W. Adamson_, May 17 2005

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Last modified March 29 08:13 EDT 2024. Contains 371265 sequences. (Running on oeis4.)