A177728 Expansion of (1 + 14*x) / ((1 - x)*(1 - 2*x)*(1 - 4*x)*(1 - 8*x)*(1 - 16*x)).

1, 45, 1085, 20925, 366141, 6120765, 100080445, 1618667325, 26038501181, 417737748285, 6692790374205, 107156587499325, 1715081133346621, 27445904805580605, 439171333486530365, 7027036201446788925, 112434938199985606461, 1798977883220621905725

Offset

0,2

Links

Colin Barker, Table of n, a(n) for n = 0..800

Index entries for linear recurrences with constant coefficients, signature (31,-310,1240,-1984,1024).

Formula

G.f.: (1 + 14*x) / ((1 - x)*(1 - 2*x)*(1 - 4*x)*(1 - 8*x)*(1 - 16*x)). - Colin Barker, Nov 27 2012

From Colin Barker, Jan 27 2018: (Start)

a(n) = (1/21)*((-1 + 2^(1+n))^2*(1-3*2^(2+n) + 2^(5+2*n))).

a(n) = 31*a(n-1) - 310*a(n-2) + 1240*a(n-3) - 1984*a(n-4) + 1024*a(n-5) for n>4.

(End)

Prog

(PARI) Vec((1 + 14*x) / ((1 - x)*(1 - 2*x)*(1 - 4*x)*(1 - 8*x)*(1 - 16*x)) + O(x^40)) \\ Colin Barker, Jan 27 2018

Crossrefs

Sequence in context: A292209 A317895 A282929 * A265615 A320363 A140346

Adjacent sequences: A177725 A177726 A177727 * A177729 A177730 A177731

Keyword

nonn,easy

Author

Roger L. Bagula, May 12 2010

Extensions

New name using g.f. given by Colin Barker from Joerg Arndt, Jan 27 2018

Status

approved