A178801 -id:A178801 - cp's OEIS frontend

A178802 Multiply, cell by cell, sequence A048996 by A178801.

1, 1, 2, 2, 6, 12, 6, 24, 48, 24, 72, 24, 120, 240, 240, 360, 360, 480, 120, 720, 1440, 1440, 720, 2160, 4320, 720, 2880, 4320, 3600, 720, 5040, 10080, 10080, 10080, 15120, 30240, 15120, 15120, 20160, 60480, 20160, 25200, 50400, 30240, 5040, 40320, 80640, 80640, 80640, 40320, 120960

Offset: 0

Alford Arnold, Jun 15 2010

			A048996 begins 1,1,1,1,1,2,1, 1, 2, 1, 3, 1 ...
A178801 begins 1,1,2,2,6,6,6,24,24,24,24,24,...
therefore
a(n)    begins 1,1,2,2,6,12,6,...
with row sums 1, 1, 4, 24, 192, 1920, 23040, ... .
Triangle begins:
    1;
    1;
    2,    2;
    6,   12,    6;
   24,   48,   24,  72,   24;
  120,  240,  240, 360,  360,  480, 120;
  720, 1440, 1440, 720, 2160, 4320, 720, 2880, 4320, 3600, 720;
  ...

Cf. A000041, A000142, A048996, A178801, A002866 (row sums).

T(n,k) = A048996(n,k) * A178801(n,k) = A048996(n,k) * n!.

A178882 Triangle T(n,k) = n!* A036040(n,k) read by rows, 1 <= k <= A000041(n).

Original entry on oeis.org

1, 2, 2, 6, 18, 6, 24, 96, 72, 144, 24, 120, 600, 1200, 1200, 1800, 1200, 120, 720, 4320, 10800, 7200, 10800, 43200, 10800, 14400, 32400, 10800, 720, 5040, 35280, 105840, 176400, 105840, 529200

Offset: 1

Alford Arnold, Jun 23 2010

Row sums are A137341(n).

			For row n = 4 the calculations are (1 4 3 6 1) times (24 24 24 24 24 ) yielding (24 96 72 144 24)
which sums to A137341(4) = 360.
Row n has A000041(n) entries:
1;
2,2;
6,18,6;
24,96,72,144,24;
120,600,1200,1200,1800,1200,120;
720,4320,10800,7200,10800,43200,10800,14400,32400,10800,720;

Cf. A000110, A053529, A137341, A036040, A178801.

cp's OEIS Frontend

A178802 Multiply, cell by cell, sequence A048996 by A178801.

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