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A248677 Decimal expansion of r = sum_{n >= 0} floor(n/4)!/n!. 4
2, 7, 1, 8, 3, 0, 9, 6, 9, 7, 7, 0, 7, 2, 4, 5, 6, 1, 8, 3, 3, 0, 4, 0, 8, 2, 7, 6, 3, 6, 1, 8, 7, 3, 4, 7, 9, 6, 2, 8, 7, 6, 1, 1, 1, 3, 3, 9, 4, 8, 9, 6, 3, 4, 3, 2, 0, 6, 4, 4, 2, 4, 2, 6, 1, 7, 4, 1, 3, 1, 3, 5, 4, 3, 9, 1, 2, 8, 2, 4, 3, 8, 1, 9, 6, 1 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Clark Kimberling, Table of n, a(n) for n = 1..1000

FORMULA

r = sum_{n >= 0} p(4,n)*n!/(4*n + 3)!, where p(k,n) is defined at A248664.

EXAMPLE

r = 2.718309697707245618330408276361873...

MAPLE

evalf(sum(floor(n/4)!/n!, n=0..infinity), 120); # Vaclav Kotesovec, Oct 17 2014

MATHEMATICA

x = N[Sum[Floor[n/2]!/n!, {n, 0, 200}], 120]

RealDigits[x][[1]]  (* A248675 *)

x = N[Sum[Floor[n/3]!/n!, {n, 0, 200}], 120]

RealDigits[x][[1]]  (* A248676 *)

x = N[Sum[Floor[n/4]!/n!, {n, 0, 200}], 120]

RealDigits[x][[1]]  (* A248677 *)

CROSSREFS

Cf. A248675, A248676, A248664.

Sequence in context: A001113 A248685 A182587 * A198128 A094121 A105178

Adjacent sequences:  A248674 A248675 A248676 * A248678 A248679 A248680

KEYWORD

nonn,easy,cons

AUTHOR

Clark Kimberling, Oct 11 2014

STATUS

approved

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Last modified February 24 03:49 EST 2018. Contains 299595 sequences. (Running on oeis4.)