A296226 - OEIS

A296226

Decimal expansion of the limiting ratio of terms in A296225.

3, 6, 5, 1, 1, 0, 0, 5, 3, 4, 0, 0, 7, 3, 4, 9, 6, 7, 8, 2, 5, 0, 8, 5, 0, 3, 2, 2, 6, 5, 9, 9, 5, 1, 9, 5, 4, 5, 0, 2, 4, 1, 4, 6, 0, 5, 4, 1, 7, 8, 1, 3, 0, 0, 7, 4, 7, 9, 7, 0, 8, 2, 6, 2, 7, 8, 8, 7, 3, 3, 6, 9, 5, 7, 8, 1, 8, 2, 7, 9, 3, 4, 1, 2, 7, 4

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OFFSET

1,1

COMMENTS

A296225(n)/A296225(n-1)) -> 3.651100534007...

See A296000 for a guide to related sequences and limiting ratios.

LINKS

Table of n, a(n) for n=1..86.

MATHEMATICA

mex[list_] := NestWhile[# + 1 &, 1, MemberQ[list, #] &];

a[0] = 1; a[1] = 3; b[0] = 2;

a[n_] := a[n] = n + Sum[a[k]*b[n - k - 1], {k, 0, n - 1}];