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A179906 (1, 1, 2, 3, 5, 7, 11, ...) convolved with (1, 0, 1, 2, 3, 5, 7, 11, ...); given A000041 = (1, 1, 2, 3, 5, 7, ...). 0

%I #7 Feb 08 2022 22:26:17

%S 1,1,3,6,12,22,40,69,117,193,312,495,773,1189,1804,2706,4011,5888,

%T 8558,12335,17627,25007,35212,49263,68470,94618,129990,177661,241548,

%U 326862,440229,590366,788321,1048499,1389097,1833638,2411752,3161449,4130448,5379560,6984883

%N (1, 1, 2, 3, 5, 7, 11, ...) convolved with (1, 0, 1, 2, 3, 5, 7, 11, ...); given A000041 = (1, 1, 2, 3, 5, 7, ...).

%F (1 + x + 3x^2 + 6x^3 + 12x^4 + ...) = (1 + x + 2x^2 + 3x^3 + 5x^4 + ...) *

%F (1 + x^2 + 2x^3 + 3x^4 + 5x^5 + ...); given A000041 = (1, 1, 2, 3, 5, 7, ...).

%e a(5) = 22 = (7, 5, 3, 2, 1, 1) dot (1, 0, 1, 2, 3, 5) = (7 + 0 + 3 + 4 + 3 + 5).

%Y Cf. A000041.

%K nonn

%O 0,3

%A _Gary W. Adamson_, Jul 31 2010

%E Corrected by _R. J. Mathar_, Jul 21 2015

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Last modified March 28 20:05 EDT 2024. Contains 371254 sequences. (Running on oeis4.)