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A178192
Sum 11^((k^2+3k)/2) from k=1 to n.
1
121, 161172, 2358108863, 379752191692104, 672750374684751701305, 13109994864250305051813161676, 2810243697916419649311518955166566527, 6626407610546884801816680266380777080570215568
OFFSET
1,1
COMMENTS
Series of the kind m^((k^2+3k)/2) from k=1 to n was studied by Bernoulli and Euler.
LINKS
MATHEMATICA
aa = {}; m = 11; sum = 0; Do[sum = sum + m^((n + 3) n/2); AppendTo[aa, sum], {n, 1, 20}]; aa (*Artur Jasinski*)
Table[11^((k^2+3k)/2), {k, 10}]//Accumulate (* Harvey P. Dale, Apr 02 2020 *)
PROG
(PARI) a(n) = sum(k=1, n, 11^((k^2+3*k)/2)); \\ Michel Marcus, Sep 09 2013
CROSSREFS
KEYWORD
nonn
AUTHOR
Artur Jasinski, May 21 2010
STATUS
approved