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A068450 Factorial expansion of sqrt(Pi) = sum n>0 a(n)/n!. 2
1, 1, 1, 2, 2, 4, 1, 1, 3, 0, 5, 10, 6, 8, 12, 0, 10, 0, 12, 9, 6, 12, 22, 21, 24, 3, 14, 21, 13, 24, 21, 11, 8, 22, 27, 3, 8, 1, 36, 21, 27, 15, 2, 41, 22, 34, 8, 0, 4, 8, 39, 48, 27, 38, 22, 0, 23, 49, 19, 27, 29, 28, 40, 33, 21, 62, 7, 67, 33, 8, 30, 18, 60, 73, 61, 72, 42, 59, 22 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

LINKS

G. C. Greubel, Table of n, a(n) for n = 1..10000

MATHEMATICA

Table[If[n == 1, Floor[Sqrt[Pi]], Floor[n!*Sqrt[Pi]] - n*Floor[(n - 1)!*Sqrt[Pi]]], {n, 1, 50}] (* G. C. Greubel, Mar 21 2018 *)

PROG

(PARI) for(n=1, 30, print1(if(n==1, floor(sqrt(Pi)), floor(n!*sqrt(Pi)) - n*floor((n-1)!*sqrt(Pi))), ", ")) \\ G. C. Greubel, Mar 21 2018

(MAGMA) R:= RealField(); [Floor(Sqrt(Pi(R)))] cat [Floor(Factorial(n)*Sqrt(Pi(R))) - n*Floor(Factorial((n-1))*Sqrt(Pi(R))) : n in [2..30]]; // G. C. Greubel, Mar 21 2018

CROSSREFS

Cf. A007514, A002161.

Sequence in context: A282627 A004565 A068449 * A071436 A214741 A243487

Adjacent sequences:  A068447 A068448 A068449 * A068451 A068452 A068453

KEYWORD

easy,nonn

AUTHOR

Benoit Cloitre, Mar 10 2002

EXTENSIONS

Keyword:cons removed by R. J. Mathar, Jul 23 2009

STATUS

approved

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Last modified May 25 19:49 EDT 2018. Contains 304578 sequences. (Running on oeis4.)