A350835 - OEIS

A350835

Area of the unique integer-sided rectangle with width W, length L, and semiperimeter S_n = L + W, such that L | W*S_n, where S_n = A350804(n).

1, 4, 16, 25, 49, 54, 64, 121, 169, 256, 289, 250, 361, 484, 529, 625, 676, 841, 961, 686, 1024, 1156, 1369, 1350, 1444, 1372, 1681, 1849, 2058, 2116, 2209, 2401, 1458, 2809, 3364, 2916, 3481, 3721, 3844, 4096, 4489, 4624, 5041, 2662, 5329, 5476, 5776, 5832, 6241, 6724

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OFFSET

1,2

LINKS

Table of n, a(n) for n=1..50.

Index entries for sequences related to partitions

EXAMPLE

a(6) = 54; 54 is the area of the unique 6 X 9 rectangle with semiperimeter A350804(6) = 15 = 6+9, such that 9 | 6*15 = 90.

CROSSREFS

Cf. A338021, A350803, A350804.

Sequence in context: A269157 A343726 A202303 * A214937 A235001 A087055

Adjacent sequences: A350832 A350833 A350834 * A350836 A350837 A350838

KEYWORD

nonn

AUTHOR

Wesley Ivan Hurt, Jan 17 2022

STATUS

approved