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A017155
a(n) = (8*n + 7)^7.
1
823543, 170859375, 3404825447, 27512614111, 137231006679, 506623120463, 1522435234375, 3938980639167, 9095120158391, 19203908986159, 37725479487783, 69833729609375, 122987386542487, 207616015289871
OFFSET
0,1
LINKS
Index entries for linear recurrences with constant coefficients, signature (8, -28, 56, -70, 56, -28, 8, -1).
FORMULA
a(n) = 8*a(n-1) - 28*a(n-2) + 56*a(n-3) - 70*a(n-4) + 56*a(n-5) - 28*a(n-6) + 8*a(n-7) - a(n-8); a(0)=823543, a(1)=170859375, a(2)=3404825447, a(3)=27512614111, a(4)=137231006679, a(5)=506623120463, a(6)=1522435234375, a(7)=3938980639167. - Harvey P. Dale, Jan 24 2015
MATHEMATICA
(8*Range[0, 30]+7)^7 (* or *) LinearRecurrence[{8, -28, 56, -70, 56, -28, 8, -1}, {823543, 170859375, 3404825447, 27512614111, 137231006679, 506623120463, 1522435234375, 3938980639167}, 30] (* Harvey P. Dale, Jan 24 2015 *)
PROG
(Magma) [(8*n+7)^7: n in [0..25]]; // Vincenzo Librandi, Jul 22 2011
CROSSREFS
Sequence in context: A057069 A016927 A016987 * A017251 A017359 A017479
KEYWORD
nonn,easy
STATUS
approved