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A113048 Binomial(4n,n)/(3n+1) mod 4. 1
1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

COMMENTS

It would appear that the behavior of this sequence is determined by values of the Jacobsthal numbers J(n)=A001045(n): a(n)=1 only if n=J(2k),k=0,1,...; a(n)=2 only if n=J(2k+3)+2J(2j), some k,j>=0, otherwise a(n)=0.

LINKS

Table of n, a(n) for n=0..104.

MATHEMATICA

Table[Mod[Binomial[4n, n]/(3n+1), 4], {n, 0, 120}] (* Harvey P. Dale, Mar 18 2018 *)

CROSSREFS

Cf. A039969, A113047, A113049.

Sequence in context: A252370 A045827 A070103 * A123758 A231642 A288318

Adjacent sequences:  A113045 A113046 A113047 * A113049 A113050 A113051

KEYWORD

easy,nonn

AUTHOR

Paul Barry, Oct 11 2005

STATUS

approved

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Last modified May 25 11:17 EDT 2019. Contains 323539 sequences. (Running on oeis4.)