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A367657 G.f. A(x) satisfies A(x) = 1 / (1 - x - x * (1 + x + x^2 + x^3) * A(x^4)). 4
1, 2, 5, 13, 34, 90, 238, 629, 1662, 4394, 11616, 30707, 81173, 214584, 567259, 1499563, 3964128, 10479273, 27702219, 73231500, 193589270, 511758023, 1352844978, 3576279113, 9453982143, 24991835308, 66066533905, 174648514118, 461687660561, 1220482733670 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
LINKS
FORMULA
a(0) = 1; a(n) = a(n-1) + Sum_{k=0..n-1} a(floor(k/4)) * 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\4+1]*v[i-j])); v;
CROSSREFS
Sequence in context: A114299 A112842 A097417 * A006801 A329674 A114173
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Nov 26 2023
STATUS
approved

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Last modified April 14 03:00 EDT 2024. Contains 371652 sequences. (Running on oeis4.)