A115242 Sequence of iterated increasing power sums. This sums are in some way a generalization of iterated triangle sums.

1, 15, 131325321, 210449029945495266124836624698709415244045199778210143675

Offset

1,2

Comments

This are iterated increasing power sums. This sums are in some way a generalization of iterated triangle sums.

Links

Table of n, a(n) for n=1..4.

Formula

Let S(m, n):=sum{k^m|k=1...n}; we define a(1):=S(1, 1), a(2):=S(1, S(2, 2)) etc., a(n):=S(1, S(2, S(3, ...S(n, n))...))).

Example

a(1)=S(1,1)=1; a(2)=S(1,S(2,2))=S(1,5)=15;
a(3)=S(1,S(2,S(3,3)=S(1,S(2,36)=S(1,16206)=131325321.

Crossrefs

See A115243 for iterated decreasing power sums.

Sequence in context: A084878 A013874 A068252 * A296528 A072723 A111413

Adjacent sequences: A115239 A115240 A115241 * A115243 A115244 A115245

Keyword

nonn

Author

Hieronymus Fischer, Jan 19 2006

Status

approved