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A074522
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1^n + 6^n + 9^n.
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0
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3, 16, 118, 946, 7858, 66826, 578098, 5062906, 44726338, 397498186, 3547250578, 31743856666, 284606318818, 2554926522346, 22955156619058, 206361317079226, 1855841298759298, 16694108359111306, 150196195253667538
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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FORMULA
| G.f.: 1/(1-x)+1/(1-6*x)+1/(1-9*x). E.g.f.: e^x+e^(6*x)+e^(9*x). [From Mohammad K. Azarian (azarian(AT)evansville.edu), Dec 26 2008]
a(n)=15*a(n-1)-54*a(n-2)+40 with a(0)=3, a(1)=16 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Jul 21 2010]
E.g.f.: A(x)=Q(0); Q(k)=1+(6^k)/(1-(3^k)/((2^k)+(3^k)-(2^k)*x/(x+(9^k)*(k+1)/Q(k+1)))) ; (continued fraction). - Sergei N. Gladkovskii, Nov 26 2011
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MATHEMATICA
| Table[1^n + 6^n + 9^n, {n, 0, 20}]
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CROSSREFS
| Cf. A001550, A001576, A034513, A001579, A074501 - A074580.
Equals A074621 + 1.
Sequence in context: A011818 A036248 A111555 * A125807 A125222 A199670
Adjacent sequences: A074519 A074520 A074521 * A074523 A074524 A074525
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KEYWORD
| easy,nonn
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AUTHOR
| Robert G. Wilson v (rgwv(AT)rgwv.com), Aug 23 2002
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