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A245095 Triangle read by rows: T(n,k) = A006218(k)*A002865(n-k). 3
1, 0, 3, 1, 0, 5, 1, 3, 0, 8, 2, 3, 5, 0, 10, 2, 6, 5, 8, 0, 14, 4, 6, 10, 8, 10, 0, 16, 4, 12, 10, 16, 10, 14, 0, 20, 7, 12, 20, 16, 20, 14, 16, 0, 23, 8, 21, 20, 32, 20, 28, 16, 20, 0, 27, 12, 24, 35, 32, 40, 28, 32, 20, 23, 0, 29, 14, 36, 40, 56, 40, 56, 32, 40, 23, 27, 0, 35 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

Row sums give A006128, n >= 1.

Column 1 is A002865.

Leading diagonal is A006218, n >= 1.

For another version see A221530.

LINKS

Table of n, a(n) for n=1..78.

EXAMPLE

Triangle begins:

1;

0,   3;

1,   0,  5;

1,   3,  0,  8;

2,   3,  5,  0, 10;

2,   6,  5,  8,  0, 14;

4,   6, 10,  8, 10,  0, 16;

4,  12, 10, 16, 10, 14,  0, 20;

7,  12, 20, 16, 20, 14, 16,  0, 23;

8,  21, 20, 32, 20, 28, 16, 20,  0, 27;

12, 24, 35, 32, 40, 28, 32, 20, 23,  0, 29;

14, 36, 40, 56, 40, 56, 32, 40, 23, 27,  0, 35;

...

For n = 6:

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

k   A006218        T(6,k)

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

1      1  *  2   =    2

2      3  *  2   =    6

3      5  *  1   =    5

4      8  *  1   =    8

5     10  *  0   =    0

6     14  *  1   =   14

.         A002865

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

So row 6 is [2, 6, 5, 8, 0, 14] and the sum of row 6 is 2+6+5+8+0+14 = 35 equaling A006128(6) = 35.

PROG

(PARI) a006218(n) = sum(k=1, n, n\k);

a002865(n) = if(n, numbpart(n)-numbpart(n-1), 1);

row(n) = vector(n, i, a006218(i)*a002865(n-i)); \\ Michel Marcus, Jul 18 2014

CROSSREFS

Cf. A000005, A000041, A002865, A006128, A006218, A221529, A221530, A245099.

Sequence in context: A119302 A134560 A127626 * A154791 A121440 A324664

Adjacent sequences:  A245092 A245093 A245094 * A245096 A245097 A245098

KEYWORD

nonn,tabl

AUTHOR

Omar E. Pol, Jul 14 2014

STATUS

approved

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Last modified November 11 15:49 EST 2019. Contains 329019 sequences. (Running on oeis4.)