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A074508 1^n + 3^n + 6^n. 0
3, 10, 46, 244, 1378, 8020, 47386, 282124, 1686178, 10097380, 60525226, 362974204, 2177313778, 13062288340, 78368947066, 470199333484, 2821152954178, 16926788584900, 101560344088906, 609360902271964 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

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

Index entries for linear recurrences with constant coefficients, signature (10,-27,18).

FORMULA

G.f.: 1/(1-x)+1/(1-3*x)+1/(1-6*x). E.g.f.: e^x+e^(3*x)+e^(6*x). [From Mohammad K. Azarian, Dec 26 2008]

a(n) = 9*a(n-1) - 18*a(n-2) + 10, n>1 [From Gary Detlefs, Jun 21 2010]

MATHEMATICA

Table[1^n + 3^n + 6^n, {n, 0, 20}]

CROSSREFS

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

Sequence in context: A005143 A270493 A121138 * A143500 A058112 A020008

Adjacent sequences:  A074505 A074506 A074507 * A074509 A074510 A074511

KEYWORD

easy,nonn

AUTHOR

Robert G. Wilson v, Aug 23 2002

STATUS

approved

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Last modified December 15 11:43 EST 2019. Contains 329999 sequences. (Running on oeis4.)