A074512 a(n) = 1^n + 4^n + 6^n.

3, 11, 53, 281, 1553, 8801, 50753, 296321, 1745153, 10339841, 61514753, 366991361, 2193559553, 13127802881, 78632599553, 471258726401, 2825404874753, 16943839313921, 101628676145153, 609634617917441

Offset

0,1

Links

Table of n, a(n) for n=0..19.

Index entries for linear recurrences with constant coefficients, signature (11,-34,24).

Formula

From Mohammad K. Azarian, Dec 26 2008: (Start)

G.f.: 1/(1-x) + 1/(1-4*x) + 1/(1-6*x).

E.g.f.: e^x + e^(4*x) + e^(6*x). (End)

a(n) = 10*a(n-1) - 24*a(n-2) + 15 with a(0)=3, a(1)=11. - Vincenzo Librandi, Jul 21 2010

Mathematica

Table[1^n + 4^n + 6^n, {n, 0, 20}]

Crossrefs

Cf. A001550, A001576, A034513, A001579, A074501..A074580.

Sequence in context: A253972 A053557 A039302 * A005502 A305710 A351200

Adjacent sequences: A074509 A074510 A074511 * A074513 A074514 A074515

Keyword

easy,nonn

Author

Robert G. Wilson v, Aug 23 2002

Status

approved