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A374500 Square pyramidal numbers that are products of smaller square pyramidal numbers. 4

%I #6 Jul 11 2024 08:38:31

%S 1,4900,513590,333833500,711410700,1042716675,1429018500,26088481055,

%T 62366724420,5223660842400,18289944673000

%N Square pyramidal numbers that are products of smaller square pyramidal numbers.

%e 1 is a term because it is a square pyramidal number and equals the empty product.

%e 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.

%e 513590 is a term because it is a square pyramidal number and equals the product of the square pyramidal numbers 506 and 1015.

%e Further examples:

%e 333833500 = 506*650*1015,

%e 711410700 = 5*385*369564,

%e 1042716675 = 55*91*208335,

%e 1429018500 = 285*650*7714,

%e 26088481055 = 91*8555*33511,

%e 62366724420 = 30*3311*627874,

%e 5223660842400 = 140*12529*2978040,

%e 18289944673000 = 56980*320988850.

%Y Row n=4 of A374498.

%Y Cf. A000330, A374501, A374502.

%K nonn,more

%O 1,2

%A _Pontus von Brömssen_, Jul 09 2024

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Last modified August 12 19:26 EDT 2024. Contains 375113 sequences. (Running on oeis4.)