A098349 Sum of ordered factorizations over hook-type prime signatures. (Row sums of A098348).

1, 1, 5, 25, 147, 1045, 8883, 88389, 1008723, 12984933, 186065011, 2936648325, 50611122451, 945623586725, 19037956164787, 410846314815941, 9460698944482643, 231538646070940901, 6001404380246870771, 164229726267373422853, 4731532138668375166355, 143154470312498479646245, 4538018949359464639487283, 150411282096757092041331781

Offset

0,3

Comments

The general case for all prime signatures is described by A095705 with row sums A035341.

Links

Alois P. Heinz, Table of n, a(n) for n = 0..200

Example

The (extended) array A098348 begins:
  1
  0  1
  0  2  3
  0  4  8  13
  0  8 20  44  75
  0 16 48 132 308 541
  ...
therefore this sequence begins 1 1 5 25 147 1045 ...

Crossrefs

Cf. A035341, A095705, A098348.

Sequence in context: A366499 A049427 A121639 * A098212 A002050 A047782

Adjacent sequences: A098346 A098347 A098348 * A098350 A098351 A098352

Keyword

easy,nonn

Author

Alford Arnold, Sep 03 2004

Extensions

More terms from David Wasserman, Feb 20 2008

a(0)=1 prepended by Alois P. Heinz, Mar 18 2026

Status

approved