A194126 -1+A088207.

1, 6, 13, 23, 36, 51, 69, 89, 112, 138, 166, 197, 231, 267, 306, 347, 391, 438, 487, 539, 593, 650, 710, 772, 837, 905, 975, 1048, 1123, 1201, 1282, 1365, 1451, 1540, 1631, 1725, 1821, 1920, 2022, 2126, 2233, 2342, 2454, 2569, 2686, 2806, 2929

Offset

1,2

Comments

A194077 is the natural fractal sequence of A194126.

Links

Table of n, a(n) for n=1..47.

Formula

a(n)=-1+sum(floor(j+j*r) : 1<=j<=n), where r=(1+sqrt(5))/2, the golden ratio.

Mathematica

c[k_]:=-1+Sum[Floor[j+j*GoldenRatio], {j, 1, k}];
c=Table[c[k], {k, 1, 40}]

Crossrefs

Cf. A088207, A194077, A194100.

Sequence in context: A356091 A359351 A293504 * A296310 A235450 A032528

Adjacent sequences: A194123 A194124 A194125 * A194127 A194128 A194129

Keyword

nonn

Author

Clark Kimberling, Aug 15 2011

Status

approved