A025093 a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (Lucas numbers), t = (odd natural numbers).

3, 5, 22, 30, 66, 82, 161, 191, 342, 394, 680, 768, 1291, 1437, 2382, 2622, 4306, 4698, 7673, 8311, 13526, 14562, 23648, 25328, 41075, 43797, 70966, 75374, 122066, 129202, 209169, 220719, 357254, 375946, 608424, 638672, 1033531, 1082477, 1751630, 1830830

Offset

1,1

Links

Table of n, a(n) for n=1..40.

Formula

Conjectures from Colin Barker, Aug 07 2019: (Start)

G.f.: x*(3 - x + 9*x^2 - 7*x^3 - 5*x^4 - x^5 - 2*x^6 - 2*x^7) / ((1 - x)^2*(1 - x^2 - x^4)^2).

a(n) = 2*a(n-1) + a(n-2) - 4*a(n-3) + 3*a(n-4) - 2*a(n-5) - a(n-6) + 4*a(n-7) - 3*a(n-8) + 2*a(n-9) - a(n-10) for n>10.

(End)

Crossrefs

Sequence in context: A292557 A147442 A370580 * A025112 A203192 A025098

Adjacent sequences: A025090 A025091 A025092 * A025094 A025095 A025096

Keyword

nonn

Author

Clark Kimberling

Extensions

Missing a(10)=394 inserted by Sean A. Irvine, Aug 07 2019

Status

approved