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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 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Amiram Eldar, Table of n, a(n) for n = 0..10000

FORMULA

a(n) = 2*A000989(n) + A000989(2*n). - Charlie Neder, Mar 09 2019

From Amiram Eldar, Feb 21 2021: (Start)

a(n) = A007949(A008977(n)).

a(n) = 2*A053735(n) - A053735(4*n)/2. (End)

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

Analogs for binomial and trinomials: A000989, A053735. See also A324467.

Cf. A007949 (3-adic valuation of n), A008977.

Sequence in context: A263050 A060547 A079878 * A329688 A217920 A137406

Adjacent sequences:  A324466 A324467 A324468 * A324470 A324471 A324472

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Mar 03 2019

STATUS

approved

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Last modified September 18 11:01 EDT 2021. Contains 347518 sequences. (Running on oeis4.)