

A104311


Numbers n such that the coefficient of x^n in (x^3+x^2+x+1)^n is prime.


1




OFFSET

1,1


COMMENTS

n such that A005725(n) is prime. No other n<16000. The primes are in A104312. Only coefficients of the x, x^n, x^(2n) and x^(3n1) terms can be prime; the coefficients of x and x^(3n1) terms are prime whenever n is prime.


LINKS



MATHEMATICA

f=1; Do[f=Expand[f*(x^3+x^2+x+1)]; s=Coefficient[f, x, n]; If[PrimeQ[s], Print[{n, s}]], {n, 1000}]


CROSSREFS

Cf. A005725 (quadrinomial coefficients).


KEYWORD

more,nonn


AUTHOR



STATUS

approved



