A367658 G.f. A(x) satisfies A(x) = 1 / (1 - x - x * (1 + x + x^2 + x^3 + x^4) * A(x^5)).

1, 2, 5, 13, 34, 89, 234, 615, 1616, 4246, 11156, 29314, 77026, 202394, 531811, 1397387, 3671781, 9647988, 25351094, 66612640, 175031647, 459913889, 1208471657, 3175385173, 8343655339, 21923823599, 57607130438, 151368736483, 397737124030, 1045095727865

Offset

0,2

Links

Table of n, a(n) for n=0..29.

Formula

a(0) = 1; a(n) = a(n-1) + Sum_{k=0..n-1} a(floor(k/5)) * a(n-1-k).

Prog

(PARI) a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=v[i]+sum(j=0, i-1, v[j\5+1]*v[i-j])); v;

Crossrefs

Cf. A367655, A367656, A367657.

Cf. A367654, A367661.

Sequence in context: A048575 A099496 A122367 * A114299 A112842 A097417

Adjacent sequences: A367655 A367656 A367657 * A367659 A367660 A367661

Keyword

nonn

Author

Seiichi Manyama, Nov 26 2023

Status

approved