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A133252 Partial sums of A006000. 0
1, 5, 17, 45, 100, 196, 350, 582, 915, 1375, 1991, 2795, 3822, 5110, 6700, 8636, 10965, 13737, 17005, 20825, 25256, 30360, 36202, 42850, 50375, 58851, 68355, 78967, 90770, 103850, 118296, 134200, 151657, 170765, 191625, 214341, 239020, 265772 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

COMMENTS

Prime for a(1) = 5, a(2) = 17, then never again?

FORMULA

a(n) = SUM[i=0..n] A006000(i) = SUM[i=0..n](i+1)*(i^2+i+2)/2. a(n) = (1/2)*((1/4)*(n^4 + 2 n^3 + n^2) + (1/3)*(2n^3 + 3n^2 + n) + (1/2)*(3n^2 + 3n) + 2n)).

CROSSREFS

Cf. A006000.

Sequence in context: A190969 A099451 A174794 * A048612 A147050 A147397

Adjacent sequences:  A133249 A133250 A133251 * A133253 A133254 A133255

KEYWORD

easy,nonn

AUTHOR

Jonathan Vos Post (jvospost3(AT)gmail.com), Dec 19 2007

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Last modified February 14 20:13 EST 2012. Contains 205663 sequences.