A030037 -id:A030037 - cp's OEIS frontend

A030036 a(n+1) = Sum_{k=0..floor(n/5)} a(k) * a(n-k).

1, 1, 1, 1, 1, 1, 2, 3, 5, 8, 13, 26, 47, 86, 159, 292, 584, 1121, 2156, 4153, 8014, 16028, 31472, 61823, 121490, 238827, 477654, 947294, 1878560, 3725648, 7389473, 14900436, 29796719, 59593438, 119178862, 238341696, 482287600, 970054641, 1951222247, 3924973230

Offset: 0

N. J. A. Sloane

nonn

Seiichi Manyama, Table of n, a(n) for n = 0..1000

Cf. A000992, A030032, A030034, A030037, A030038, A030039.

lista(nn) = {my(v=vector(nn+2, i, 1)); for(n=3, nn, v[n+2]=sum(k=1, 1+n\5, v[k]*v[n+2-k])); v; } \\ Jinyuan Wang, Mar 18 2020

More terms from Jinyuan Wang, Mar 18 2020

A030038 a(n+1) = Sum_{k=0..floor(3n/5)} a(k) a(n-k).

Original entry on oeis.org

1, 1, 1, 2, 3, 6, 13, 26, 57, 117, 262, 602, 1329, 3079, 6903, 16161, 38185, 87745, 207896, 481817, 1148246, 2755781, 6485489, 15592656, 36899080, 88966356, 215687474, 515590781, 1251629165, 2998835401, 7291353036, 17803231663, 42980538045, 104981503048, 253813177447

Offset: 0

N. J. A. Sloane

nonn

Seiichi Manyama, Table of n, a(n) for n = 0..1000

Cf. A000992, A030036, A030037, A030039.

lista(nn) = {my(v=vector(nn+2, i, 1)); for(n=1, nn, v[n+2]=sum(k=1, 1+(3*n)\5, v[k]*v[n+2-k])); v; } \\ Jinyuan Wang, Mar 18 2020

More terms from Jinyuan Wang, Mar 18 2020

A030039 a(n+1) = Sum_{k=0..floor(4n/5)} a(k) a(n-k).

Original entry on oeis.org

1, 1, 1, 2, 4, 9, 21, 42, 97, 233, 570, 1414, 3319, 8208, 20595, 52370, 133955, 328261, 833652, 2136155, 5519116, 14341917, 36069212, 93074465, 241613666, 630653714, 1652472131, 4215072482, 10985970447, 28756470626, 75580683613, 199201407564, 513021407584

Offset: 0

N. J. A. Sloane

nonn

Seiichi Manyama, Table of n, a(n) for n = 0..1000

Cf. A000992, A030036, A030037, A030038.

lista(nn) = {my(v=vector(nn+2, i, 1)); for(n=1, nn, v[n+2]=sum(k=1, 1+(4*n)\5, v[k]*v[n+2-k])); v; } \\ Jinyuan Wang, Mar 18 2020

More terms from Jinyuan Wang, Mar 18 2020

A030033 a(n+1) = Sum_{k = 0..floor(2n/3)} a(k)a(n-k) for n >= 0 with a(0) = 1.

Original entry on oeis.org

1, 1, 1, 2, 4, 7, 15, 34, 72, 165, 387, 861, 2039, 4894, 11256, 27085, 66021, 156347, 381720, 940211, 2261208, 5578659, 13846756, 33654950, 83539418, 208608556, 512069441, 1278522424, 3207377196, 7925966000

Offset: 0

N. J. A. Sloane

nonn

Seiichi Manyama, Table of n, a(n) for n = 0..1000

Cf. A000992, A030032, A030037.

a := proc(n) local k; option remember;
     if n = 0 then 1;
     else add(a(k)*a(n - 1 - k), k = 0 .. floor(2/3*n - 2/3));
     end if;
end proc;
seq(a(n), n = 0..30); # Petros Hadjicostas, Nov 07 2019

Name edited by Petros Hadjicostas, Nov 07 2019

cp's OEIS Frontend

A030036 a(n+1) = Sum_{k=0..floor(n/5)} a(k) * a(n-k).

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A030038 a(n+1) = Sum_{k=0..floor(3n/5)} a(k) a(n-k).

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A030039 a(n+1) = Sum_{k=0..floor(4n/5)} a(k) a(n-k).

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PARI

Extensions

A030033 a(n+1) = Sum_{k = 0..floor(2n/3)} a(k)a(n-k) for n >= 0 with a(0) = 1.

Views

Author

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Maple

Extensions

cp's OEIS Frontend

A030036 a(n+1) = Sum_{k=0..floor(n/5)} a(k) * a(n-k).

Views

Author

Keywords

Links

Crossrefs

Programs

PARI

Extensions

A030038 a(n+1) = Sum_{k=0..floor(3*n/5)} a(k) * a(n-k).

Views

Author

Keywords

Links

Crossrefs

Programs

PARI

Extensions

A030039 a(n+1) = Sum_{k=0..floor(4*n/5)} a(k) * a(n-k).

Views

Author

Keywords

Links

Crossrefs

Programs

PARI

Extensions

A030033 a(n+1) = Sum_{k = 0..floor(2*n/3)} a(k)*a(n-k) for n >= 0 with a(0) = 1.

Views

Author

Keywords

Links

Crossrefs

Programs

Maple

Extensions

A030038 a(n+1) = Sum_{k=0..floor(3n/5)} a(k) a(n-k).

A030039 a(n+1) = Sum_{k=0..floor(4n/5)} a(k) a(n-k).

A030033 a(n+1) = Sum_{k = 0..floor(2n/3)} a(k)a(n-k) for n >= 0 with a(0) = 1.