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A017045
a(n) = (7*n + 5)^5.
1
3125, 248832, 2476099, 11881376, 39135393, 102400000, 229345007, 459165024, 844596301, 1453933568, 2373046875, 3707398432, 5584059449, 8153726976, 11592740743, 16105100000, 21924480357, 29316250624
OFFSET
0,1
FORMULA
G.f.: (3125 + 230082*x + 1029982*x^2 + 694762*x^3 + 58857*x^4 + 32*x^5)/(x-1)^6. - R. J. Mathar, Jul 14 2016
a(n) = 6*a(n-1) - 15*a(n-2) + 20*a(n-3) - 15*a(n-4) + 6*a(n-5) - a(n-6). - Wesley Ivan Hurt, Jan 01 2024
MATHEMATICA
(7*Range[0, 20]+5)^5 (* or *) LinearRecurrence[{6, -15, 20, -15, 6, -1}, {3125, 248832, 2476099, 11881376, 39135393, 102400000}, 20] (* Harvey P. Dale, Jan 13 2017 *)
PROG
(Magma) [(7*n+5)^5: n in [0..30] ]; // Vincenzo Librandi, Jul 18 2011
CROSSREFS
Sequence in context: A115791 A016853 A016973 * A017129 A017225 A223231
KEYWORD
nonn,easy
STATUS
approved