

A324469


Exponent of highest power of 3 that divides multinomial(4*n;n,n,n,n).


1



0, 1, 2, 1, 2, 4, 2, 5, 6, 1, 2, 3, 2, 3, 6, 4, 6, 7, 2, 3, 4, 5, 6, 8, 6, 8, 9, 1, 2, 3, 2, 3, 5, 3, 6, 7, 2, 3, 4, 3, 4, 8, 6, 8, 9, 4, 5, 6, 6, 7, 9, 7, 9, 10, 2, 3, 4, 3, 4, 6, 4, 9, 10, 5, 6, 7, 6, 7, 10, 8, 10, 11, 6, 7, 8, 8, 9, 11, 9, 11, 12, 1, 2
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OFFSET

0,3


LINKS



FORMULA



MAPLE

[seq(padic[ordp](combinat[multinomial](4*n, n$4), 3), n=0..128)];


MATHEMATICA

s[n_] := Plus @@ IntegerDigits[n, 3]; a[n_] := 2*s[n]  s[4*n]/2; Array[a, 100, 0] (* Amiram Eldar, Feb 21 2021 *)


CROSSREFS



KEYWORD

nonn


AUTHOR



STATUS

approved



