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).

1, 625, 7451, 587687, 192856629, 1183808479, 220742818733, 6334029208601, 32973262995075, 853235644319439, 102411500363403805, 11294927679436544243, 53352132931526366997, 5415828333647578287211, 114722120087477391174007, 524320903831521291661817

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