A176661 Partial sums of A061262.

0, 3, 15, 36, 88, 145, 236, 357, 493, 704, 896, 1122, 1531, 1862, 2229, 2635, 3146, 3653, 4539, 5176, 5948, 6669, 7540, 8492, 9594, 10660, 11887, 13079, 14720, 16341, 17737, 19118, 20619, 22351, 24143, 26070, 28012, 30413, 33024, 35575, 37997

Offset

0,2

Comments

Partial sums of smallest number representable as the sum of 3 triangular numbers in exactly n ways. The subsequence of triangular numbers in the partial sum begins: 3, 15, 36. The subsequence of primes in the partial sum begins: 3, 1531, 11887, 17737, 37997, 43441.

Links

Table of n, a(n) for n=0..40.

Formula

a(n) = SUM[i=0..n] A061262(i).

Example

a(13) = 0 + 3 + 12 + 21 + 52 + 57 + 91 + 121 + 136 + 211 + 192 + 226 + 409 = 1531 is prime.

Crossrefs

Cf. A061262, A000217, A053614, A060773, A002636, A124978.

Sequence in context: A062741 A185541 A372682 * A117561 A353679 A065765

Adjacent sequences: A176658 A176659 A176660 * A176662 A176663 A176664

Keyword

nonn

Author

Jonathan Vos Post, Apr 23 2010

Status

approved