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A178132 Partial sums of A003995. 0
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified August 15 13:27 EDT 2020. Contains 336504 sequences. (Running on oeis4.)