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A074512
a(n) = 1^n + 4^n + 6^n.
0
3, 11, 53, 281, 1553, 8801, 50753, 296321, 1745153, 10339841, 61514753, 366991361, 2193559553, 13127802881, 78632599553, 471258726401, 2825404874753, 16943839313921, 101628676145153, 609634617917441
OFFSET
0,1
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}]
LinearRecurrence[{11, -34, 24}, {3, 11, 53}, 30] (* Harvey P. Dale, Jun 19 2024 *)
CROSSREFS
KEYWORD
easy,nonn
AUTHOR
Robert G. Wilson v, Aug 23 2002
STATUS
approved