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A016795 a(n) = (3n+2)^7. 7
128, 78125, 2097152, 19487171, 105413504, 410338673, 1280000000, 3404825447, 8031810176, 17249876309, 34359738368, 64339296875, 114415582592, 194754273881, 319277809664, 506623120463, 781250000000 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,1
COMMENTS
The inverse binomial transform is 128, 77997, 1941030, 13429962, 39735360, 57561840, 40415760, 11022480, 0 (0 from here on). - R. J. Mathar, May 07 2008
LINKS
Index entries for linear recurrences with constant coefficients, signature (8, -28, 56, -70, 56, -28, 8, -1).
FORMULA
G.f.: (128+77101*x+1475736*x^2+4890287*x^3+3870352*x^4+692499*x^5 +16376*x^6 +x^7) / (x-1)^8. - R. J. Mathar, May 07 2008
Sum_{n>=0} 1/a(n) = (147555*zeta(7) - 28*sqrt(3)*Pi^7)/295245. - Ilya Gutkovskiy, Jun 16 2016
MATHEMATICA
Table[(3n+2)^7, {n, 0, 100}] (* Mohammad K. Azarian, Jun 15 2016 *)
LinearRecurrence[{8, -28, 56, -70, 56, -28, 8, -1}, {128, 78125, 2097152, 19487171, 105413504, 410338673, 1280000000, 3404825447}, 30] (* Harvey P. Dale, Dec 04 2019 *)
CROSSREFS
Sequence in context: A220301 A323541 A330486 * A222054 A338110 A283926
KEYWORD
nonn,easy
AUTHOR
STATUS
approved

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Last modified March 28 16:34 EDT 2024. Contains 371254 sequences. (Running on oeis4.)