A134429 a(n) = (-1)^(1 + n) * 2 * ( -1/2 -n + (-1)^((1 + n)*(2 + n)/2)).

3, -5, 3, -5, 11, -13, 11, -13, 19, -21, 19, -21, 27, -29, 27, -29, 35, -37, 35, -37, 43, -45, 43, -45, 51, -53, 51, -53, 59, -61, 59, -61, 67, -69, 67, -69, 75, -77, 75, -77, 83, -85, 83, -85, 91, -93, 91, -93, 99, -101, 99, -101, 107, -109, 107, -109, 115, -117, 115, -117, 123, -125, 123, -125, 131, -133, 131

Offset

0,1

Comments

Previous name was: Array read by rows: row n lists 4 terms: k, m, k, m where k = 8n+3 and m = -8n -5.

Links

B. D. Swan, Table of n, a(n) for n = 0..100000

Formula

a(2*n) + a(2*n+1) = -2.

a(n) = (-1)^(1 + n) * 2 * ( -1/2 -n + (-1)^((1 + n)*(2 + n)/2)). - Gerry Martens, Nov 08 2022

Mathematica

Table[With[{k=8n+3, m=-8n-5}, {k, m, k, m}], {n, 0, 30}]//Flatten (* Harvey P. Dale, Jul 18 2018 *)

Crossrefs

Cf. A134314 (first differences).

Sequence in context: A296489 A253398 A151568 * A100667 A329736 A324086

Adjacent sequences: A134426 A134427 A134428 * A134430 A134431 A134432

Keyword

sign,easy,less

Author

Paul Curtz, Jan 31 2008

Extensions

Edited by Omar E. Pol, Mar 23 2008

Edited by B. D. Swan (bdswan(AT)gmail.com), Dec 20 2008

New name (using formula from Gerry Martens) from Joerg Arndt, Nov 08 2022

Status

approved