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A245099 Triangle read by rows: T(n,k) = A024916(k)*A002865(n-k). 7
1, 0, 4, 1, 0, 8, 1, 4, 0, 15, 2, 4, 8, 0, 21, 2, 8, 8, 15, 0, 33, 4, 8, 16, 15, 21, 0, 41, 4, 16, 16, 30, 21, 33, 0, 56, 7, 16, 32, 30, 42, 33, 41, 0, 69, 8, 28, 32, 60, 42, 66, 41, 56, 0, 87, 12, 32, 56, 60, 84, 66, 82, 56, 69, 0, 99, 14, 48, 64 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,3
COMMENTS
Row sums give A066186.
Column 1 is A002865.
Leading diagonal is A024916.
Since A024916(k) has a symmetric representation then both T(n,k) and the partial sums of row n can be represented by symmetric polycubes - for more information see A237593 and A237270. For another version see A221529.
LINKS
EXAMPLE
Triangle begins:
1;
0, 4;
1, 0, 8;
1, 4, 0, 15;
2, 4, 8, 0, 21;
2, 8, 8, 15, 0, 33;
4, 8, 16, 15, 21, 0, 41;
4, 16, 16, 30, 21, 33, 0, 56;
7, 16, 32, 30, 42, 33, 41, 0, 69;
8, 28, 32, 60, 42, 66, 41, 56, 0, 87;
12, 32, 56, 60, 84, 66, 82, 56, 69, 0, 99;
...
For n = 6:
-------------------------
k A024916 T(6,k)
-------------------------
1 1 * 2 = 2
2 4 * 2 = 8
3 8 * 1 = 8
4 15 * 1 = 15
5 21 * 0 = 0
6 33 * 1 = 33
-------------------------
So row 6 is [2, 8, 8, 15, 0, 33] and the sum of row 6 is 2+8+8+15+0+33 = 66 equaling A066186(6) = 6*A000041(6) = 6*11 = 66.
CROSSREFS
Sequence in context: A198215 A062175 A085659 * A176219 A231350 A152420
KEYWORD
nonn,tabl
AUTHOR
Omar E. Pol, Jul 13 2014
STATUS
approved

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Last modified March 18 22:09 EDT 2024. Contains 370951 sequences. (Running on oeis4.)