A238698 Quotients connected with the Banach matchboxes problem: Sum_{i=1..prime(n)-9} 2^(i-1)*binomial(i+3,4)/prime(n) (case 4).

1, 27, 3599, 29157, 1362009, 271400395, 1469088801, 201573262419, 4910195172327, 23758960017789, 538608637491505, 54480012827209187, 5189654331623024397, 23446625614115858667, 2104894813684998321045, 41392675008326544152201, 182632116049323564469767

Offset

5,2

Comments

See comment in A238693.

Links

Table of n, a(n) for n=5..21.

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

Mathematica

k=4; (*case 4*)
Table[Sum[2^(i-1)Binomial[i+k-1, k], {i, p-(2k+1)}]/p, {p, Prime[Range[k+1, 20]]}] (* Peter J. C. Moses, Mar 04 2014 *)

Crossrefs

Cf. A238693, A238697.

Sequence in context: A128507 A166750 A195374 * A230169 A271240 A223327

Adjacent sequences: A238695 A238696 A238697 * A238699 A238700 A238701

Keyword

nonn

Author

Vladimir Shevelev, Mar 03 2014

Extensions

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

Status

approved