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A100345
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Triangle read by rows: T(n,k) = n*(n+k), 0<=k<=n.
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9
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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
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OFFSET
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0,3
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COMMENTS
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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.
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LINKS
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Table of n, a(n) for n=0..64.
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EXAMPLE
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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
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MATHEMATICA
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Table[n(n+k), {n, 0, 10}, {k, 0, n}]//Flatten (* Harvey P. Dale, Aug 16 2018 *)
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CROSSREFS
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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
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KEYWORD
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nonn,tabl,easy
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AUTHOR
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Reinhard Zumkeller, Nov 18 2004
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STATUS
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approved
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