

A163294


a(n) = 2 + Sum_{x=n..prime(n)} (x*(1)^x).


1



1, 3, 6, 4, 10, 6, 14, 8, 18, 12, 23, 15, 29, 17, 33, 21, 40, 24, 45, 28, 49, 31, 55, 35, 63, 40, 67, 42, 71, 44, 81, 52, 87, 55, 94, 60, 99, 65, 105, 69, 112, 72, 119, 77, 123, 79, 131, 90, 140, 92, 144, 96, 149, 101, 158, 106, 165, 109, 170, 113, 174, 118, 187, 126, 191
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OFFSET

1,2


LINKS

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


EXAMPLE

a(1) = 2 + 1  2 = 1;
a(2) = 2  2 + 3 = 3;
a(3) = 2 + 3  4 + 5 = 6;
a(4) = 2  4 + 5  6 + 7 = 4;
a(5) = 2 + 5  6 + 7  8 + 9  10 + 11 = 10.


MAPLE

A163294 := proc(n) 2+add( j*(1)^j, j=n..ithprime(n)) ; end: seq(A163294(n), n=1..120) ; # R. J. Mathar, Oct 10 2009


MATHEMATICA

Table[2 + Sum[k*(1)^(k + 1), {k, n, Prime[n]}], {n, 1, 100}] (* G. C. Greubel, Dec 17 2016 *)


PROG

(PARI) for(n=1, 50, print1(2 + sum(k=n, prime(n), k*(1)^(k+1)), ", ")) \\ G. C. Greubel, Dec 17 2016


CROSSREFS

Cf. A000027, A000040.
Sequence in context: A242224 A294671 A275985 * A168577 A122634 A169846
Adjacent sequences: A163291 A163292 A163293 * A163295 A163296 A163297


KEYWORD

nonn,less


AUTHOR

JuriStepan Gerasimov, Jul 24 2009


EXTENSIONS

Corrected by JuriStepan Gerasimov, Jul 26 2009
Edited (but not checked) by N. J. A. Sloane, Jul 27 2009
Roughly 50 percent of the entries corrected by R. J. Mathar, Oct 10 2009


STATUS

approved



