A180086 - OEIS

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A180086

Sum of previous terms divided by their distance from n

1, 3, 6, 11, 20, 33, 54, 87, 142, 226, 360, 571, 907, 1438, 2278, 3606, 5708, 9032, 14293, 22614, 35778, 56604, 89550, 141670, 224122, 354560, 560907, 887348, 1403768, 2220731, 3513149, 5557726, 8792197, 13909055, 22003808

(list; graph; refs; listen; history; text; internal format)

OFFSET

2,2

LINKS

Table of n, a(n) for n=2..36.

FORMULA

a(n) = n + floor(a(n-1)/1) + floor(a(n-2)/2) + ... + floor(a(1)/(n-1))

EXAMPLE

a(1)=1 by definition

a(4)=4+a(3)/1+a(2)/2+a(1)/3=4+floor(6/1)+floor(3/2)+floor(1/3)=11

CROSSREFS

Sequence in context: A191696 A252479 A320850 * A116365 A297443 A185083

Adjacent sequences: A180083 A180084 A180085 * A180087 A180088 A180089

KEYWORD

nonn

AUTHOR

Dominick Cancilla, Aug 09 2010

STATUS

approved