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A218036 a(n) = (n+1) + (n+3/2)*H(n) - (H(n)^3)/2, where H(n)=A002024(n). 0

%I #22 Nov 23 2019 09:37:51

%S 4,6,9,8,12,16,10,15,20,25,12,18,24,30,36,14,21,28,35,42,49,16,24,32,

%T 40,48,56,64,18,27,36,45,54,63,72,81,20,30,40,50,60,70,80,90,100,22,

%U 33,44,55,66,77,88,99,110,121,24,36,48,60,72,84,96,108,120

%N a(n) = (n+1) + (n+3/2)*H(n) - (H(n)^3)/2, where H(n)=A002024(n).

%C All terms are composite.

%H Blake Ralston, <a href="http://www.fq.math.ca/Scanned/23-2/ralston.pdf">Elemental Complete Composite Number Generators</a>, The Fibonacci Quarterly, Volume 23, Number 2, May 1985, pp. 149-150.

%F a(n) = (A002024(n)+1)*(n+1-A002024(n)*(A002024(n)-1)/2).

%F As a triangle: T(n, k) = (k + 1)*(n + 1) with 1 <= k <= n. - _Stefano Spezia_, Nov 23 2019

%e Sequence can be seen as a triangle that begins:

%e 4;

%e 6, 9;

%e 8, 12, 16;

%e 10, 15, 20, 25;

%e 12, 18, 24, 30, 36;

%e 14, 21, 28, 35, 42, 49;

%e 16, 24, 32, 40, 48, 56, 64;

%e ...

%t Table[(k+1)*(n+1),{n,1,11},{k,1,n}]//Flatten (* _Stefano Spezia_, Nov 23 2019 *)

%Y Cf. A002024.

%K nonn,tabl

%O 1,1

%A _Michel Marcus_, Oct 19 2012

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Last modified August 28 11:27 EDT 2024. Contains 375500 sequences. (Running on oeis4.)