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A055227 Nearest integer to sqrt( n! ). 2
1, 1, 1, 2, 5, 11, 27, 71, 201, 602, 1905, 6318, 21886, 78911, 295260, 1143536, 4574144, 18859677, 80014834, 348776577, 1559776269, 7147792818, 33526120082, 160785623545, 787685471323, 3938427356615 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

LINKS

T. D. Noe, Table of n, a(n) for n = 0..300

FORMULA

a(n) = A000194(A000142(n)).

MATHEMATICA

Round[Sqrt[Range[0, 30]!]] (* Harvey P. Dale, Aug 27 2013 *)

PROG

(Python)

from gmpy2 import isqrt

A055227_list, g = [1], 1

for i in range(1, 101):

....g *= i

....s = isqrt(g)

....A055227_list.append(int(s if g-s*(s+1) <= 0 else s+1))  # Chai Wah Wu, Jul 24 2015

CROSSREFS

Cf. A260373.

Sequence in context: A238825 A073225 A027087 * A325916 A257790 A174145

Adjacent sequences:  A055224 A055225 A055226 * A055228 A055229 A055230

KEYWORD

easy,nonn

AUTHOR

Henry Bottomley, Jun 21 2000

STATUS

approved

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Last modified September 21 22:12 EDT 2019. Contains 327284 sequences. (Running on oeis4.)