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

%I #13 Jun 06 2019 07:01:39

%S 1,5,13,27,49,80,122,176,244,328,429,549,690,853,1040,1252,1491,1759,

%T 2057,2387,2750,3148,3583,4056,4569,5124,5722,6365,7054,7791,8578,

%U 9416,10307,11253,12255,13315,14434,15614,16857,18164,19537,20977,22486,24066,25718,27444,29246

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

%H <a href="/index/Be#Beatty">Index entries for sequences related to Beatty sequences</a>

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

%o a(n) = sum(k=1, n, k*b(n-k+1)); \\ _Michel Marcus_, Jun 06 2019

%Y Cf. A000201.

%K nonn

%O 1,2

%A _Clark Kimberling_

%E Missing a(16) inserted by _Sean A. Irvine_, Jun 06 2019

%E More terms from _Michel Marcus_, Jun 06 2019