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A135483 a(n) = Sum_{i=1..n} ( prime(i)*2^(i-2) ), where prime(i) denotes i-th prime number. 1
1, 4, 14, 42, 130, 338, 882, 2098, 5042, 12466, 28338, 66226, 150194, 326322, 711346, 1579698, 3513010, 7510706, 16292530, 34904754, 73177778, 156015282, 330078898, 703371954, 1517066930, 3211565746, 6667672242, 13848320690, 28478053042, 58811259570 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

G. C. Greubel, Table of n, a(n) for n = 1..1000

MATHEMATICA

Table[Sum[2^(i-2) * Prime[i], {i, 1, n}], {n, 1, 10}] (* G. C. Greubel, Oct 15 2016 *)

Accumulate[Table[Prime[i]*2^(i-2), {i, 30}]] (* Harvey P. Dale, Aug 14 2019 *)

PROG

(PARI) a(n) = sum(k=1, n, prime(k)*2^(k-2)); \\ Michel Marcus, Oct 15 2016

CROSSREFS

Cf. A000040, A000079.

Sequence in context: A189052 A189426 A007076 * A095377 A296253 A247470

Adjacent sequences:  A135480 A135481 A135482 * A135484 A135485 A135486

KEYWORD

nonn

AUTHOR

Ctibor O. Zizka, Feb 07 2008

STATUS

approved

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Last modified June 2 11:35 EDT 2020. Contains 334771 sequences. (Running on oeis4.)