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A316322 Sum of piles of first n primes: a(n) = Sum(prime(i)*(2*i-1): 1<=i<=n). 2
2, 11, 36, 85, 184, 327, 548, 833, 1224, 1775, 2426, 3277, 4302, 5463, 6826, 8469, 10416, 12551, 15030, 17799, 20792, 24189, 27924, 32107, 36860, 42011, 47470, 53355, 59568, 66235, 73982, 82235, 91140, 100453, 110734, 121455, 132916, 145141, 158000, 171667, 186166, 201189, 217424, 234215, 251748 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Seiichi Manyama, Table of n, a(n) for n = 1..10000

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.

MATHEMATICA

nxt[{n_, a_}] := {n + 1, a + Prime[n + 1] (2 n + 1)}; NestList[nxt, {1, 2}, 50][[All, 2]] (* Harvey P. Dale, Jul 05 2018 *)

CROSSREFS

Cf. A083215.

Sequence in context: A078982 A154416 A184538 * A238706 A071244 A005583

Adjacent sequences:  A316319 A316320 A316321 * A316323 A316324 A316325

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Jul 03 2018, based on Reinhard Zumkeller's A083215.

STATUS

approved

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Last modified August 8 19:29 EDT 2020. Contains 336298 sequences. (Running on oeis4.)