A396386 - OEIS

A396386

a(n) = r(n,n), where r(1,k)=f(k)=round(k*c), r(n,k)=f(r(n-1,k)), c=3/2, using banker's rounding.

2, 4, 9, 21, 40, 72, 112, 202, 364, 567, 924, 1533, 2624, 4144, 6453, 10524, 16842, 26196, 41278, 67251, 106204, 165393, 252234, 404574, 644571, 971190, 1510600, 2380306, 3742125, 5817009, 8858274, 13779572, 21459147, 32726430, 50605770, 78738044, 122481402

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OFFSET

1,1

COMMENTS

a(n+1)/a(n) approaches c erratically.

LINKS

Table of n, a(n) for n=1..37.

MATHEMATICA

c = 3/2; f[k_] := f[k] = Round[c*k];

r[1, k_] := f[k]; r[n_, k_] := r[n, k] = f[r[n - 1, k]];

Table[r[n, n], {n, 1, 100}]

CROSSREFS