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A179380 Triangle T(n,k) read by rows: product of A074664(a_i) of all parts a_i of the k-th partition of n. 2
1, 1, 1, 2, 1, 1, 6, 2, 1, 1, 1, 22, 6, 2, 2, 1, 1, 1, 92, 22, 6, 4, 6, 2, 1, 2, 1, 1, 1, 426, 92, 22, 12, 22, 6, 4, 2, 6, 2, 1, 2, 1, 1, 1, 2146, 426, 92, 44, 36, 92, 22, 12, 6, 4, 22, 6, 4, 2, 1, 6, 2, 1, 2, 1, 1, 1, 11624, 2146, 426, 184, 132, 426, 92, 44, 36, 22, 12, 8, 92, 22, 12 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

COMMENTS

Row n has A000041(n) elements, sorted in Abramowitz-Stegun order.

LINKS

Table of n, a(n) for n=1..81.

FORMULA

A048996(n,k)* T(n,k) = A179313(n,k).

sum_{k=1.. A000041(n)} T(n,k) = A179379(n).

T(n,1) = A074664(n).

EXAMPLE

T(6,4) refers to the 4th partition of 6, 3+3. T(6,4)=A074664(3)*A074664(3)=2*2.

T(7,3) refers to the 3rd partition of 7, 2+5. T(7,3)=A074664(2)*A074664(5)=1*22.

The triangle starts

1;

1,1;

2,1,1;

6,2,1,1,1;

22,6,2,2,1,1,1;

92,22,6,4,6,2,1,2,1,1,1;

426,92,22,12,22,6,4,2,6,2,1,2,1,1,1;

CROSSREFS

Cf. A000041, A179379, A074664.

Sequence in context: A125731 A123361 A265315 * A107106 A178249 A119502

Adjacent sequences:  A179377 A179378 A179379 * A179381 A179382 A179383

KEYWORD

nonn,tabf

AUTHOR

Alford Arnold, Jul 12 2010

EXTENSIONS

Edited and extended by R. J. Mathar, Jul 16 2010

STATUS

approved

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Last modified August 18 17:55 EDT 2018. Contains 313834 sequences. (Running on oeis4.)