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

Author

Vladimir Shevelev, Mar 03 2014

Keywords

• nonn

Comments

See comment in A238693.

Links

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

Crossrefs

Cf. A238693, A238697, A238698.

Programs

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 *)

Extensions

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