OFFSET
1,2
COMMENTS
LINKS
M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, 1972 [alternative scanned copy].
M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards Applied Math. Series 55, Tenth Printing, 1972.
W. Lang: First 10 rows.
FORMULA
a(n,k)=product(part(i),i=1..m(n,k)) if the k-th partition of n in the A-St order has only prime parts. Here m(n,k) is the number of parts of this partition. Otherwise a(n,k)=0. See A000040 for the prime numbers.
EXAMPLE
[0];
[2, 0];
[3, 0, 0];
[0, 0, 4, 0, 0];
[5, 0, 6, 0, 0, 0, 0];
...
a(4,3)=4 because the third partition of 4 is, in A-St order, (2,2)
with product 4. There is only this partition of 4 with only prime parts.
Row n=5 shows: n=5 appears twice in A001414(k), namely for k= 5 and
6. This is related to the two partitions (5) and (3,2) with only prime parts.
CROSSREFS
KEYWORD
nonn,easy,tabf
AUTHOR
Wolfdieter Lang, Mar 24 2006
STATUS
approved