A178132 Partial sums of A003995.

0, 1, 5, 10, 19, 29, 42, 56, 72, 89, 109, 130, 155, 181, 210, 240, 274, 309, 345, 382, 420, 459, 499, 540, 582, 627, 673, 722, 772, 823, 875, 928, 982, 1037, 1093, 1150, 1208, 1267, 1328, 1390, 1453, 1517, 1582, 1648, 1716, 1785, 1855, 1926, 1999, 2073, 2148

Offset

0,3

Comments

Partial sums of sum of (any number of) distinct squares. The subsequence of primes in this partial sum begins: 5, 19, 29, 89, 109, 499, 673, 823, 1093, 1453, 1999, 2543, 2963.

Links

Table of n, a(n) for n=0..50.

Formula

a(n) = SUM[i=0..n] A003995(i) = SUM[i=0..n] (r^2 + s^2 + t^2+ ...) with 0<=r<s<t<....

Example

a(13) = 0 + 1 + 4 + 5 + 9 + 10 + 13 + 14 + 16 + 17 + 20 + 21 + 25 + 26 = 181 is prime.

Crossrefs

Cf. A001422, A001983, A003995, A008935, A033461.

Sequence in context: A168567 A185440 A134467 * A227844 A191595 A047882

Adjacent sequences: A178129 A178130 A178131 * A178133 A178134 A178135

Keyword

easy,nonn

Author

Jonathan Vos Post, May 20 2010

Status

approved