|
|
A006898
|
|
a(n) = Sum_{k=0..n} C(n,k)*2^(k*(k+1)/2).
(Formerly M2958)
|
|
4
|
|
|
1, 3, 13, 95, 1337, 38619, 2310533, 283841911, 70927591153, 35812691480115, 36383765777442685, 74185239630793429775, 303119284294591169426729, 2479814853198140771706795531, 40599509058360322571947638063605
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,2
|
|
COMMENTS
|
|
|
REFERENCES
|
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
|
|
LINKS
|
|
|
FORMULA
|
|
|
MATHEMATICA
|
Table[Sum[Binomial[n, k]2^((k(k+1))/2), {k, 0, n}], {n, 0, 20}] (* Harvey P. Dale, Apr 01 2023 *)
|
|
PROG
|
(PARI) a(n)=sum(k=0, n, binomial(n, k)*2^(k*(k+1)/2)) \\ Paul D. Hanna, Apr 10 2009
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
EXTENSIONS
|
Edited by N. J. A. Sloane, Apr 12 2009 at the suggestion of Vladeta Jovovic
|
|
STATUS
|
approved
|
|
|
|