A374500 Square pyramidal numbers that are products of smaller square pyramidal numbers.

1, 4900, 513590, 333833500, 711410700, 1042716675, 1429018500, 26088481055, 62366724420, 5223660842400, 18289944673000

Offset: 1

Author

Pontus von Brömssen, Jul 09 2024

Keywords

• nonn
• more

Examples

			1 is a term because it is a square pyramidal number and equals the empty product.
4900 is a term because it is a square pyramidal number and equals the product of the square pyramidal numbers 5, 5, 14, and 14.
513590 is a term because it is a square pyramidal number and equals the product of the square pyramidal numbers 506 and 1015.
Further examples:
       333833500 = 506*650*1015,
       711410700 = 5*385*369564,
      1042716675 = 55*91*208335,
      1429018500 = 285*650*7714,
     26088481055 = 91*8555*33511,
     62366724420 = 30*3311*627874,
   5223660842400 = 140*12529*2978040,
  18289944673000 = 56980*320988850.
		

Crossrefs

Row n=4 of A374498.

Cf. A000330, A374501, A374502.