A174643 Partial sums of A050536.

8, 44, 710, 222821, 24666982037, 304224505147060828973, 46276274758482720007096830321604756046489, 1070746802761292462947634762387664148872052610197552503724569802262354342880260375

Offset: 0

Author

Jonathan Vos Post, Mar 25 2010

Keywords

• easy
• nonn

Comments

Partial sums of iterated triangular numbers with seed a(0)=8. None of the values shown are prime, but there is no a priori obstruction to a prime value.

Examples

			a(6) = 8 + 36 + 666 + 222111 + 24666759216 = 24666982037.
		

Crossrefs

Cf. A050536.

Programs

Maple

A050536 := proc(n) if n = 0 then 8; else binomial( procname(n-1)+1,2) ; end if; end proc: A174643 := proc(n) add(A050536(i),i=0..n) ; end proc: seq(A174643(n),n=0..10) ; # R. J. Mathar, Apr 15 2010

Formula

a(n) = Sum_{i=0..n} A050536(i).

Extensions

One more term from R. J. Mathar, Apr 15 2010