A242954 a(n) = Product_{i=1..n} A234957(i).

1, 1, 1, 1, 4, 4, 4, 4, 16, 16, 16, 16, 64, 64, 64, 64, 1024, 1024, 1024, 1024, 4096, 4096, 4096, 4096, 16384, 16384, 16384, 16384, 65536, 65536, 65536, 65536, 1048576, 1048576, 1048576, 1048576, 4194304, 4194304, 4194304, 4194304, 16777216, 16777216, 16777216

Offset

0,5

Comments

This is the generalized factorial for A234957.

a(0) = 1 as it represents the empty product.

Links

Table of n, a(n) for n=0..42.

Tyler Ball, Tom Edgar, and Daniel Juda, Dominance Orders, Generalized Binomial Coefficients, and Kummer's Theorem, Mathematics Magazine, Vol. 87, No. 2, April 2014, pp. 135-143.

Formula

a(n) = Product_{i=1..n} A234957(i).

a(n) = 4^(A054893(n)). - Vaclav Kotesovec, May 28 2014

Prog

(Sage)
S=[0]+[4^valuation(i, 4) for i in [1..100]]
[prod(S[1:i+1]) for i in [0..99]]

Crossrefs

Cf. A054893, A060818, A060828, A234957.

Sequence in context: A134660 A132383 A115639 * A062732 A100777 A309501

Adjacent sequences: A242951 A242952 A242953 * A242955 A242956 A242957

Keyword

nonn

Author

Tom Edgar, May 27 2014

Status

approved