A178184 Sum 2^((k^2+3k)/2) from k=1 to n

4, 36, 548, 16932, 1065508, 135283236, 34495021604, 17626681066020, 18032025190548004, 36911520172609651236, 151152638972001256489508, 1238091191924352276155613732, 20283647694843594776223406899748

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

Table of n, a(n) for n=1..13.

Mathematica

aa = {}; m = 2; sum = 0; Do[sum = sum + m^((n + 3) n/2); AppendTo[aa, sum], {n, 1, 20}]; aa (*Artur Jasinski*)
Accumulate[Table[2^((k^2+3k)/2), {k, 20}]] (* Harvey P. Dale, Aug 17 2021 *)

Crossrefs

Cf. A178184-A178193.

Sequence in context: A349650 A294359 A336639 * A070780 A132687 A364152

Adjacent sequences: A178181 A178182 A178183 * A178185 A178186 A178187

Keyword

nonn

Author

Artur Jasinski, May 21 2010

Status

approved