|
| |
|
|
A000955
|
|
A sequence satisfying (a(2n+1)+1)^3 = sum(a(k)^3,k=1..2n+1)
(Formerly M4073 N1688)
|
|
0
| |
|
|
1, 6, 8, 262, 2448, 17997702, 44082372248, 5829766629386380698502, 256989942683351711945337288361248, 198131491921177194311506308094238133848780474484255622782351242502
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,2
|
|
|
REFERENCES
| D. A. Klarner, Sequences of k-th powers with k-th power partial sums, Math. mag., 37 (1964), 165-167.
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
|
|
|
FORMULA
| a(1)=1, a(2)=6, a(3)=8, a(2n+2)=3*a(2n+1)^2+8*a(2n+1)+6, a(2n+3)=3*a(2n+1)^3+12*a(2n+1)^2+17*a(2n+1)+8 [Sean A. Irvine, Sep 16 2011]
|
|
|
CROSSREFS
| Sequence in context: A013236 A013242 A169971 * A027721 A196762 A078196
Adjacent sequences: A000952 A000953 A000954 * A000956 A000957 A000958
|
|
|
KEYWORD
| nonn
|
|
|
AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
|
|
|
EXTENSIONS
| One more term from Sean A. Irvine (sairvin(AT)xtra.co.nz), Sep 15 2011
|
| |
|
|
