login
A374498
Square array read by antidiagonals: row n lists n-gonal pyramidal numbers that are products of smaller n-gonal pyramidal numbers.
7
1, 36, 1, 45, 560, 1, 210, 19600, 4900, 1, 300, 43680, 513590, 56448, 1, 378, 45760, 333833500, 127008, 4750, 1, 630, 893200, 711410700, 259200, 1926049000, 58372180608, 1
OFFSET
2,2
COMMENTS
If there are only finitely many solutions for a certain value of n, the rest of that row is filled with 0's.
The first term in each row is 1, because 1 is an n-gonal pyramidal number for every n and it equals the empty product.
EXAMPLE
Array begins:
n\k| 1 2 3 4
---+--------------------------------
2 | 1 36 45 210
3 | 1 560 19600 43680
4 | 1 4900 513590 333833500
5 | 1 56448 127008 259200
6 | 1 4750 1926049000 655578709500
CROSSREFS
Cf. A080851, A374370, A374499 (second column).
Rows: A068143 (n=2 except the first term), A364151 (n=3), A374500 (n=4), A374501 (n=5), A374502 (n=6).
Sequence in context: A156645 A330084 A350385 * A371259 A037935 A159824
KEYWORD
nonn,tabl,more
AUTHOR
STATUS
approved