A140755 Square array read by rows: T(n,k) = 41*n^2 + k^2 + n*k, with 20 columns.

43, 47, 53, 61, 71, 83, 97, 113, 131, 151, 173, 197, 223, 251, 281, 313, 347, 383, 421, 461, 167, 172, 179, 188, 199, 212, 227, 244, 263, 284, 307, 332, 359, 388, 419, 452, 487, 524, 563, 604, 373, 379, 387, 397, 409, 423, 439

Offset: 1

Author

Aldrich Stevens (aldrichstevens(AT)msn.com), May 27 2008

Keywords

• nonn
• tabf
• easy
• less

Comments

The original definition of this sequence was obscure: "A prime array is embedded in a binary quadratic equation that is a transform of x^2 - x + 41".

Links

• G. C. Greubel, Table of n, a(n) for n = 1..400

Crossrefs

Cf. A140340, A140754 (very similar arrays).

Programs

Magma

m:=20; [41*n^2 +k^2 +n*k: k in [1..m], n in [1..m]]; // G. C. Greubel, Oct 21 2023

Mathematica

With[{m=20}, Table[41*n^2 +k^2 +n*k, {n,m}, {k,m}]//Flatten] (* G. C. Greubel, Oct 21 2023 *)

SageMath

flatten([[41*n^2+k^2+n*k for k in range(1,21)] for n in range(1,21)]) # G. C. Greubel, Oct 21 2023

Extensions

Partially edited with better definition by Omar E. Pol, Jan 11 2009

More terms from Omar E. Pol, Jan 11 2009