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A249153 Exponent of 2 in the hyperfactorial of 2n: a(n) = A007814(A002109(2n)). 3
0, 2, 10, 16, 40, 50, 74, 88, 152, 170, 210, 232, 304, 330, 386, 416, 576, 610, 682, 720, 840, 882, 970, 1016, 1208, 1258, 1362, 1416, 1584, 1642, 1762, 1824, 2208, 2274, 2410, 2480, 2696, 2770, 2922, 3000, 3320, 3402, 3570, 3656, 3920, 4010, 4194, 4288, 4768, 4866, 5066, 5168, 5480, 5586, 5802, 5912 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Chai Wah Wu, Table of n, a(n) for n = 0..10000

FORMULA

a(n) = A249152(2*n) = A007814(A002109(2*n)).

a(n) = 2*A143157(n).

PROG

(Scheme, two alternative versions)

(define (A249153 n) (* 2 (A143157 n)))

(define (A249153 n) (A249152 (+ n n)))

(Python)

from sympy import multiplicity

A249153_list, n = [0], 0

for i in range(2, 20002, 2):

    n += multiplicity(2, i)*i

    A249153_list.append(n) # Chai Wah Wu, Aug 21 2015

CROSSREFS

Bisection of A249152.

Cf. A002109, A007814, A143157.

Sequence in context: A110761 A046036 A131474 * A276046 A268481 A009387

Adjacent sequences:  A249150 A249151 A249152 * A249154 A249155 A249156

KEYWORD

nonn

AUTHOR

Antti Karttunen, Oct 25 2014

STATUS

approved

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Last modified August 7 17:43 EDT 2020. Contains 336278 sequences. (Running on oeis4.)