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A176266 Binomial(prime(n),s)/prime(n) where s is the sum of the decimal digits of n. 2
1, 1, 2, 5, 42, 132, 1144, 3978, 35530, 1, 15, 210, 2470, 22386, 228459, 2908360, 37584261, 284291205, 3701413144, 35, 852, 19019, 349812, 6529292, 132435472, 2000945100, 24366118700, 328386663605, 3520256293710, 2072, 81375, 2271776, 59988852, 1227434238, 33401522154, 584134601050, 11919696387170, 234924043375476, 3924875235562164, 208335 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

For n = 10^p, a(n) = 1.

LINKS

Table of n, a(n) for n=1..40.

FORMULA

a(n) = A007318( A000040(n), A007953(n))/A000040(n).

a(n) = A060604(n)/A000040(n), n<10.

EXAMPLE

a(5) = 42 because prime(5) = 11, s = 5,  binomial(11,5)/11 = 462/11=42.

a(16)=2908360 because prime(16)=53, s=7, binomial(53,7)/53 =154143080/53 = 2908360.

MAPLE

A176266 := proc(n) binomial(ithprime(n), A007953(n))/ithprime(n) ; end proc:

seq(A176266(n), n=1..20) ;

MATHEMATICA

Table[Binomial[Prime[n], Total[IntegerDigits[n]]]/Prime[n], {n, 40}] (* Harvey P. Dale, Oct 25 2020 *)

PROG

(Sage) A176266 = lambda n: binomial(nth_prime(n), sum(n.digits()))/nth_prime(n) # D. S. McNeil, Dec 08 2010

CROSSREFS

Cf. A075872.

Sequence in context: A255963 A093625 A042447 * A075872 A075891 A246669

Adjacent sequences:  A176263 A176264 A176265 * A176267 A176268 A176269

KEYWORD

nonn,base

AUTHOR

Michel Lagneau, Dec 07 2010

STATUS

approved

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Last modified June 16 14:16 EDT 2021. Contains 345057 sequences. (Running on oeis4.)