A132832 -id:A132832 - cp's OEIS frontend

A132831 Largest terms a(n) forming a self-convolution of an integer sequence (A132832) such that: a(n) <= 2*a(n-1) for n>0 with a(0)=1.

1, 2, 3, 6, 11, 22, 44, 88, 175, 350, 700, 1400, 2799, 5598, 11195, 22390, 44779, 89558, 179115, 358230, 716459, 1432918, 2865835, 5731670, 11463340, 22926680, 45853360, 91706720, 183413439, 366826878, 733653755, 1467307510, 2934615019

Offset: 0

Paul D. Hanna, Sep 07 2007

nonn

a(n) ~ 2^n*c where c=0.683268303731665578137197731736227240453607...

Cf. A132832.

{a(n)=local(B=[1],t);if(n==0,1,for(k=1,n,t=2*a(k-1);B=concat(B,t); B[ #B]=t+1-denominator(Vec(Ser(B)^(1/2))[ #B]) ));B[n+1]}

A132834 Largest integer terms forming a self-convolution square-root of a sequence (A132833) such that: A132833(n) <= 3*A132833(n-1) for n>0 with A132833(0)=1.

Original entry on oeis.org

1, 1, 2, 5, 14, 39, 109, 308, 876, 2502, 7174, 20642, 59572, 172375, 499936, 1452939, 4230353, 12337274, 36033281, 105382550, 308574692, 904548474, 2654253082, 7795709736, 22916057914, 67416582519, 198477304237, 584722289762

Offset: 0

Paul D. Hanna, Sep 07 2007

nonn

Cf. A132833 (square); A132832 (variant).

cp's OEIS Frontend

A132831 Largest terms a(n) forming a self-convolution of an integer sequence (A132832) such that: a(n) <= 2*a(n-1) for n>0 with a(0)=1.

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A132834 Largest integer terms forming a self-convolution square-root of a sequence (A132833) such that: A132833(n) <= 3*A132833(n-1) for n>0 with A132833(0)=1.

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