|
| |
|
|
A098533
|
|
Sum of seventh powers of first n Fibonacci numbers.
|
|
8
| |
|
|
0, 1, 2, 130, 2317, 80442, 2177594, 64926111, 1866014652, 54389364796, 1576824599171, 45808159494700, 1329726624043564, 38611060907763141, 1121015217730946894, 32548443577940946894, 945021540449512861377
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,3
|
|
|
FORMULA
| a(n)=(1/79750)*(88*F(7n+1)+198*F(7n+2)-( -1)^n*(1218*F(5n+1)+812*F(5n+2))+6699*F(3n+2)-(-1)^n*(44660*F(n+1) -22330*F(n+2))+17375) where F(n)=A000045(n)
a(n+9)=22*a(n+8)+252*a(n+7)-1365*a(n+6)+728*a(n+5) -2912*a(n+4)+819*a(n+3)-294*a(n+2)+20*a(n+1)+a(n)
|
|
|
PROG
| (PARI) a(n)=sum(i=0, n, fibonacci(i)^7)
|
|
|
CROSSREFS
| Cf. A001654, A005968, A005969, A098531, A098532.
Cf. A128696, A000071, A001654, A005968, A005969, A098531, A098532, A128697.
Sequence in context: A003369 A099824 A190578 * A158110 A117626 A142251
Adjacent sequences: A098530 A098531 A098532 * A098534 A098535 A098536
|
|
|
KEYWORD
| nonn
|
|
|
AUTHOR
| Benoit Cloitre (benoit7848c(AT)orange.fr), Sep 12 2004
|
|
|
EXTENSIONS
| Typo in data corrected by D. S. McNeil, Aug 17 2010
|
| |
|
|
