

A144562


Triangle read by rows: T(n, k) = 2*n*k + n + k  1.


34



3, 6, 11, 9, 16, 23, 12, 21, 30, 39, 15, 26, 37, 48, 59, 18, 31, 44, 57, 70, 83, 21, 36, 51, 66, 81, 96, 111, 24, 41, 58, 75, 92, 109, 126, 143, 27, 46, 65, 84, 103, 122, 141, 160, 179, 30, 51, 72, 93, 114, 135, 156, 177, 198, 219, 33, 56, 79, 102, 125, 148, 171, 194, 217, 240, 263
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OFFSET

1,1


COMMENTS

Rearrangement of A153238, numbers n such that 2*n+3 is not prime (we have 2*T(n,k) + 3 = (2*n+1)*(2*k+1), as 2*n+3 is odd it consists of (at least) two odd factors and all such factors appear by definition).


LINKS



FORMULA



EXAMPLE

Triangle begins:
3;
6, 11;
9, 16, 23;
12, 21, 30, 39;
15, 26, 37, 48, 59;
18, 31, 44, 57, 70, 83;
21, 36, 51, 66, 81, 96, 111;
24, 41, 58, 75, 92, 109, 126, 143;
27, 46, 65, 84, 103, 122, 141, 160, 179;


MAPLE



MATHEMATICA

T[n_, k_]:= 2*n*k +n +k 1; Table[T[n, k], {n, 11}, {k, n}]//Flatten


PROG

(Magma) [2*n*k+n+k1: k in [1..n], n in [1..11]]; /* or, see example: */ [[2*n*k+n+k1: k in [1..n]]: n in [1..9]]; // Bruno Berselli, Dec 04 2011
(Sage) flatten([[2*n*k+n+n1 for k in (1..n)] for n in (1..12)]) # G. C. Greubel, Mar 01 2021


CROSSREFS



KEYWORD



AUTHOR



EXTENSIONS



STATUS

approved



