A143980 Binomial transform of A079260.

0, 0, 0, 0, 1, 6, 21, 56, 126, 252, 462, 792, 1288, 2016, 3108, 4928, 8569, 17154, 38931, 94164, 229824, 550088, 1278662, 2884752, 6335005, 13590930, 28575315, 59014620, 119878606, 239662236, 471605976, 913302656, 1740247806, 3262146492, 6015853242

Offset

1,6

Links

Alois P. Heinz, Table of n, a(n) for n = 1..1000

Formula

a(n) = Sum_{k=5..n} C(n,k) * A079260(k).

Example

a(13) = [1287,1716,1716,1287,715,286,78,13,1] * [1,0,0,0,0,0,0,0,1] = 1287+1 = 1288.

Maple

bintrans:= proc(p) proc (n) add (p(k) *binomial(n, k), k=0..n) end end: f:= proc(n) if isprime(n) and modp(n, 4)=1 then 1 else 0 fi end: a:= bintrans(f): seq (a(n), n=1..40);

Crossrefs

Cf. A007318, A079260.

Sequence in context: A341203 A090581 A000389 * A140228 A264926 A006090

Adjacent sequences: A143977 A143978 A143979 * A143981 A143982 A143983

Keyword

nonn

Author

Alois P. Heinz, Sep 06 2008

Status

approved