A024473 a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = (Lucas numbers), t = (odd natural numbers).

1, 3, 14, 22, 50, 66, 131, 161, 290, 342, 592, 680, 1145, 1291, 2142, 2382, 3914, 4306, 7035, 7673, 12490, 13526, 21968, 23648, 38353, 41075, 66558, 70966, 114930, 122066, 197619, 209169, 338562, 357254, 578176, 608424, 984585, 1033531, 1672430, 1751630, 2834346

Offset

1,2

Links

Table of n, a(n) for n=1..41.

Index entries for linear recurrences with constant coefficients, signature (2,1,-4,3,-2,-1,4,-3,2,-1).

Formula

G.f.:(1-6*x^7+2*x^6-7*x^5+x^4-5*x^3+7*x^2+x)/((x-1)^2*(x^4+x^2-1)^2) [From Maksym Voznyy (voznyy(AT)mail.ru), Jul 27 2009]

Crossrefs

Sequence in context: A258218 A255219 A226341 * A024598 A019001 A034103

Adjacent sequences: A024470 A024471 A024472 * A024474 A024475 A024476

Keyword

nonn

Author

Clark Kimberling

Status

approved