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A238700 Quotients connected with the Banach matchboxes problem: Sum_{i=1..prime(n)-11} 2^(i-1)*binomial(i+4,5)/prime(n) (case 5). 8
1, 625, 7451, 587687, 192856629, 1183808479, 220742818733, 6334029208601, 32973262995075, 853235644319439, 102411500363403805, 11294927679436544243, 53352132931526366997, 5415828333647578287211, 114722120087477391174007, 524320903831521291661817 (list; graph; refs; listen; history; text; internal format)
OFFSET

6,2

COMMENTS

See comment in A238693.

LINKS

Table of n, a(n) for n=6..21.

V. Shevelev, Banach matchboxes problem and a congruence for primes, arXiv:1110.5686

MAPLE

A238700:=n->sum(2^(i-1)*binomial(i+4, 5)/ithprime(n), i=1..ithprime(n) - 11); seq(A238700(n), n=6..25); # Wesley Ivan Hurt, Mar 03 2014

MATHEMATICA

Table[Sum[2^(i - 1)*Binomial[i + 4, 5]/Prime[n], {i, Prime[n] - 11}], {n, 6, 25}] (* Wesley Ivan Hurt, Mar 03 2014 *)

CROSSREFS

Cf. A238693, A238697, A238698.

Sequence in context: A016816 A046756 A143026 * A064781 A250832 A250827

Adjacent sequences:  A238697 A238698 A238699 * A238701 A238702 A238703

KEYWORD

nonn

AUTHOR

Vladimir Shevelev, Mar 03 2014

EXTENSIONS

More terms from Peter J. C. Moses, Mar 03 2014

STATUS

approved

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Last modified August 10 12:19 EDT 2020. Contains 336379 sequences. (Running on oeis4.)