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A023541 Convolution of natural numbers with Beatty sequence for the golden mean A000201. 0
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

Adjacent sequences:  A023538 A023539 A023540 * A023542 A023543 A023544

KEYWORD

nonn

AUTHOR

Clark Kimberling

EXTENSIONS

Missing a(16) inserted by Sean A. Irvine, Jun 06 2019

More terms from Michel Marcus, Jun 06 2019

STATUS

approved

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Last modified December 1 01:11 EST 2021. Contains 349426 sequences. (Running on oeis4.)