A023541 - OEIS

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A023541

Convolution of natural numbers with Beatty sequence for the golden mean A000201.

1, 5, 13, 27, 49, 80, 122, 176, 244, 328, 429, 549, 690, 853, 1040, 1252, 1491, 1759, 2057, 2387, 2750, 3148, 3583, 4056, 4569, 5124, 5722, 6365, 7054, 7791, 8578, 9416, 10307, 11253, 12255, 13315, 14434, 15614, 16857, 18164, 19537, 20977, 22486, 24066, 25718, 27444, 29246

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

OFFSET

1,2

LINKS

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

Index entries for sequences related to Beatty sequences

PROG

(PARI) b(n) = floor(n*(sqrt(5)+1)/2); \\ A000201

a(n) = sum(k=1, n, k*b(n-k+1)); \\ Michel Marcus, Jun 06 2019

CROSSREFS

Cf. A000201.

Sequence in context: A025193 A002717 A299897 * A079989 A062480 A027024