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A245099 Triangle read by rows: T(n,k) = A024916(k)*A002865(n-k). 4
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

Table of n, a(n) for n=1..69.

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

.         A002865

-------------------------

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

Cf. A000041, A000203, A002865, A024916, A066186, A221529, A221530, A245095.

Sequence in context: A198215 A062175 A085659 * A176219 A231350 A152420

Adjacent sequences:  A245096 A245097 A245098 * A245100 A245101 A245102

KEYWORD

nonn,tabl

AUTHOR

Omar E. Pol, Jul 13 2014

STATUS

approved

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Last modified April 5 22:48 EDT 2020. Contains 333260 sequences. (Running on oeis4.)