A098352 Multiplication table of the even numbers read by antidiagonals.

4, 8, 8, 12, 16, 12, 16, 24, 24, 16, 20, 32, 36, 32, 20, 24, 40, 48, 48, 40, 24, 28, 48, 60, 64, 60, 48, 28, 32, 56, 72, 80, 80, 72, 56, 32, 36, 64, 84, 96, 100, 96, 84, 64, 36, 40, 72, 96, 112, 120, 120, 112, 96, 72, 40, 44, 80, 108, 128, 140, 144, 140, 128, 108, 80, 44

Offset

1,1

Links

G. C. Greubel, Antidiagonals n = 1..100, flattened

Formula

T(n,k) = 4*A003991(n,k). - R. J. Mathar, Dec 08 2015

Example

   4   8  12  16  20  24  28  32
   8  16  24  32  40  48  56  64
  12  24  36  48  60  72  84  96
  16  32  48  64  80  96 112 128
  20  40  60  80 100 120 140 160
  24  48  72  96 120 144 168 192
  28  56  84 112 140 168 196 224
  32  64  96 128 160 192 224 256

Maple

seq(seq(4*k*(n-k+1), k = 1..n), n = 1..12); # G. C. Greubel, Aug 16 2019

Mathematica

Table[4*k*(n-k+1), {n, 12}, {k, n}]//Flatten (* G. C. Greubel, Aug 16 2019 *)

Prog

(PARI) T(n, k) = 4*k*(n-k+1); \\ G. C. Greubel, Aug 16 2019
(Magma) [4*k*(n-k+1): k in [1..n], n in [1..12]]; // G. C. Greubel, Aug 16 2019
(Sage) [[4*k*(n-k+1) for k in (1..n)] for n in (1..12)] # G. C. Greubel, Aug 16 2019
(GAP) Flat(List([1..12], n-> List([1..n], k-> 4*k*(n-k+1) ))); # G. C. Greubel, Aug 16 2019

Crossrefs

Cf. A003991, A098353.

Sequence in context: A145154 A072541 A141719 * A273395 A273456 A299771

Adjacent sequences: A098349 A098350 A098351 * A098353 A098354 A098355

Keyword

nonn,tabl,easy

Author

Douglas Stones (dssto1(AT)student.monash.edu.au), Sep 04 2004

Status

approved