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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). 8
1, 27, 3599, 29157, 1362009, 271400395, 1469088801, 201573262419, 4910195172327, 23758960017789, 538608637491505, 54480012827209187, 5189654331623024397, 23446625614115858667, 2104894813684998321045, 41392675008326544152201, 182632116049323564469767 (list; graph; refs; listen; history; text; internal format)
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

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Last modified August 6 15:44 EDT 2020. Contains 336254 sequences. (Running on oeis4.)