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

Author

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

Keywords

• nonn
• tabl
• easy

Examples

			   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
		

Links

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

Crossrefs

Cf. A003991, A098353.

Programs

GAP

Flat(List([1..12], n-> List([1..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

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 *)

PARI

T(n,k) = 4*k*(n-k+1); \\ 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

Formula

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