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

Author

Paul D. Hanna, Sep 07 2007

Keywords

• nonn

Comments

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

Crossrefs

Cf. A132832.

Programs

PARI

{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]}