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A194126 -1+A088207. 3
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 (list; graph; refs; listen; history; text; internal format)
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: A323423 A236577 A293504 * A296310 A235450 A032528

Adjacent sequences:  A194123 A194124 A194125 * A194127 A194128 A194129

KEYWORD

nonn

AUTHOR

Clark Kimberling, Aug 15 2011

STATUS

approved

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Last modified September 27 08:39 EDT 2021. Contains 347689 sequences. (Running on oeis4.)