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A083215
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Sum of piles of first n primes.
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0
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3, 12, 37, 86, 185, 328, 549, 834, 1225, 1776, 2427, 3278, 4303, 5464, 6827, 8470, 10417, 12552, 15031, 17800, 20793, 24190, 27925, 32108, 36861, 42012, 47471, 53356, 59569, 66236, 73983, 82236, 91141, 100454, 110735, 121456, 132917
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| a(n) = Sum(prime(i)*(2*i-1): 1<=i<=n);
a(n) = 2*A014285(n) - A007504(n).
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LINKS
| Eric Weisstein's World of Mathematics, Figurate Number.
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EXAMPLE
| ............................................ 7
........................... 5 ............ 7 5 7
............ 3 .......... 5 3 5 ........ 7 5 3 5 7
2 ........ 3 2 3 ...... 5 3 2 3 5 .... 7 5 3 2 3 5 7
a(1)=2 ... a(2)=11 .... a(3)=36 ...... a(4)=85.
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CROSSREFS
| Cf. A002412.
Sequence in context: A110950 A102744 A145951 * A022727 A008907 A048246
Adjacent sequences: A083212 A083213 A083214 * A083216 A083217 A083218
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KEYWORD
| nonn
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AUTHOR
| Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jun 01 2003
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