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A143183 Triangle t(n,m) = 1 + (2+n)*abs(n-2m) read by rows, 0<=m<=n. 2
1, 4, 4, 9, 1, 9, 16, 6, 6, 16, 25, 13, 1, 13, 25, 36, 22, 8, 8, 22, 36, 49, 33, 17, 1, 17, 33, 49, 64, 46, 28, 10, 10, 28, 46, 64, 81, 61, 41, 21, 1, 21, 41, 61, 81, 100, 78, 56, 34, 12, 12, 34, 56, 78, 100, 121, 97, 73, 49, 25, 1, 25, 49, 73, 97, 121 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
0,2
COMMENTS
Row sums are 1, 8, 19, 44, 77, 132, ... = n+1+(n+2)*A007590(n+1).
LINKS
FORMULA
t(n,m)=t(n,n-m).
EXAMPLE
1;
4, 4;
9, 1, 9;
16, 6, 6, 16;
25, 13, 1, 13, 25;
36, 22, 8, 8, 22, 36;
9, 33, 17, 1, 17, 33, 49;
64, 46, 28, 10, 10, 28, 46, 64;
81, 61, 41, 21, 1, 21, 41, 61, 81;
100, 78, 56, 34, 12, 12, 34, 56, 78, 100;
121, 97, 73, 49, 25, 1, 25, 49, 73, 97, 121;
MAPLE
A143183 := proc(n, k)
1+(2+n)*abs(n-2*m) ;
end proc: # R. J. Mathar, Jul 12 2012
MATHEMATICA
Clear[t, n, m]; t[n_, m_] = 1 + Abs[(1 + n - m)^2 - (1 + m)^2]; Table[Table[t[n, m], {m, 0, n}], {n, 0, 10}]; Flatten[%]
CROSSREFS
Sequence in context: A134576 A176441 A363683 * A165441 A204997 A178840
KEYWORD
nonn,tabl,easy
AUTHOR
EXTENSIONS
Row sums corrected by R. J. Mathar, Jul 12 2012
STATUS
approved

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Last modified March 28 14:13 EDT 2024. Contains 371254 sequences. (Running on oeis4.)