cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A294349 Product of first n terms of the binomial transform of the Lucas numbers (A000032).

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%I A294349 #10 Oct 29 2017 13:06:57
%S A294349 2,6,42,756,35532,4370436,1407280392,1186337370456,2618246576596392,
%T A294349 15128228719573952976,228844715840995186667952,
%U A294349 9062937281450932377610903056,939663463215395570775453650652192,255065069445576619918001465293982953056
%N A294349 Product of first n terms of the binomial transform of the Lucas numbers (A000032).
%F A294349 a(n) ~ c * phi^(n*(n+1)), where phi = A001622 = (1+sqrt(5))/2 is the golden ratio and c = 2.349094356918735309421297337651771419003525539652230102934874983942...
%t A294349 Table[Product[Sum[Binomial[m, k]*LucasL[k], {k, 0, m}], {m, 0, n}], {n, 0, 15}]
%t A294349 Table[Product[LucasL[2*k], {k, 0, n}], {n, 0, 15}]
%Y A294349 Cf. A005248, A047656, A086619, A135407, A194157.
%K A294349 nonn
%O A294349 0,1
%A A294349 _Vaclav Kotesovec_, Oct 29 2017