A379528 Number of compositions (ordered partitions) of 1 into {1/1^2, 1/2^2, 1/3^2, ..., 1/n^2}.

1, 2, 3, 97, 98, 40917543, 40917544, 2901109178066823, 81221415992592163051371926, 373220766236315864054296758124337507430, 373220766236315864054296758124337507431

Offset

1,2

Links

Table of n, a(n) for n=1..11.

Index entries for sequences related to Egyptian fractions

Formula

a(p) = a(p-1) + 1 for p prime. - Chai Wah Wu, Dec 27 2024

Crossrefs

Cf. A000290, A020473, A038034, A348625, A378270, A378842.

Sequence in context: A247652 A132499 A199541 * A208205 A128931 A323463

Adjacent sequences: A379525 A379526 A379527 * A379529 A379530 A379531

Keyword

nonn,more

Author

Ilya Gutkovskiy, Dec 24 2024

Extensions

a(6)-a(11) from Alois P. Heinz, Dec 26 2024

Status

approved