|
|
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
|
|
|
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
|
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
|
|
|
KEYWORD
|
nonn,easy
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|