A100345 Triangle read by rows: T(n,k) = n*(n+k), 0<=k<=n.

0, 1, 2, 4, 6, 8, 9, 12, 15, 18, 16, 20, 24, 28, 32, 25, 30, 35, 40, 45, 50, 36, 42, 48, 54, 60, 66, 72, 49, 56, 63, 70, 77, 84, 91, 98, 64, 72, 80, 88, 96, 104, 112, 120, 128, 81, 90, 99, 108, 117, 126, 135, 144, 153, 162, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190

Offset

0,3

Comments

T(n,0) = A000290(n);

T(n,1) = A002378(n) for n>0;

T(n,2) = A005563(n) for n>1;

T(n,3) = A028552(n) for n>2;

T(n,4) = A028347(n+2) for n>3;

T(n,5) = A028557(n) for n>4;

T(n,6) = A028560(n) for n>5;

T(n,7) = A028563(n) for n>6;

T(n,8) = A028566(n) for n>7;

T(n,9) = A028569(n) for n>8;

T(n,10) = A098603(n) for n>9;

T(n,n-5) = A071355(n-4) for n>4;

T(n,n-4) = A054000(n-1) for n>3;

T(n,n-3) = A014107(n) for n>2;

T(n,n-2) = A046092(n-1) for n>1;

T(n,n-1) = A000384(n) for n>0;

T(n,n) = A001105(n);

row-sums give A085789 for n>0.

Links

Table of n, a(n) for n=0..64.

Example

   0
   1   2
   4   6   8
   9  12  15  18
  16  20  24  28  32
  25  30  35  40  45  50
  36  42  48  54  60  66  72
  49  56  63  70  77  84  91  98
  64  72  80  88  96 104 112 120 128

Mathematica

Table[n(n+k), {n, 0, 10}, {k, 0, n}]//Flatten (* Harvey P. Dale, Aug 16 2018 *)

Crossrefs

Distinct members (except 0) are in A071562. Numbers occurring at least twice are in A175040. [Franklin T. Adams-Watters, Apr 04 2010]

Sequence in context: A335127 A071562 A241562 * A261011 A354360 A333426

Adjacent sequences: A100342 A100343 A100344 * A100346 A100347 A100348

Keyword

nonn,tabl,easy

Author

Reinhard Zumkeller, Nov 18 2004

Status

approved