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A074506 1^n + 3^n + 4^n. 2
3, 8, 26, 92, 338, 1268, 4826, 18572, 72098, 281828, 1107626, 4371452, 17308658, 68703188, 273218426, 1088090732, 4338014018, 17309009348, 69106897226, 276040168412, 1102998412178, 4408506864308, 17623567104026 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

B. Berselli, Table of n, a(n) for n = 0..1000. [From Bruno Berselli, Jul 20 2010]

Index entries for linear recurrences with constant coefficients, signature (8,-19,12).

FORMULA

a(n) = 7*a(n-1)-12*a(n-2)+6 with a(0)=3, a(1)=8. - Vincenzo Librandi, Jul 19 2010

a(n) = 8*a(n-1) - 19*a(n-2) + 12*a(n-3). - R. J. Mathar, Jul 18 2010

G.f.: 1/(1-x)+1/(1-3*x)+1/(1-4*x). E.g.f.: e^x+e^(3*x)+e^(4*x). [From Mohammad K. Azarian, Dec 26 2008]

MATHEMATICA

Table[1^n + 3^n + 4^n, {n, 0, 22}]

CROSSREFS

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

Equals A074605(n) + 1.

Sequence in context: A148819 A148820 A148821 * A215087 A148822 A124528

Adjacent sequences:  A074503 A074504 A074505 * A074507 A074508 A074509

KEYWORD

easy,nonn

AUTHOR

Robert G. Wilson v, Aug 23 2002

STATUS

approved

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Last modified August 21 21:36 EDT 2017. Contains 290908 sequences.