A355243 - OEIS

A355243

a(n) is the largest integer value of Product_{k=1..n} (2 + 1/t_k) with integers t_k > 1.

5, 11, 25, 55, 125, 277, 637, 1421, 3237, 7553, 16807, 38661, 90209, 208397

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OFFSET

2,1

LINKS

EXAMPLE

a(2) = 5 = (2 + 1/3) * (2 + 1/7),

a(3) = 11 = (2 + 1/3) * (2 + 1/5) * (2+1/7) = (2 + 1/3)^2 * (2 + 1/49),

a(7) = 277 = (2 + 1/3)^5 * ( 2 + 1/405) * (2 + 1/13630477).

PROG

(PARI) see link in A355626

CROSSREFS

A355626 gives more information.

A355630 same problem with factors (3 + 1/t_k).

KEYWORD

nonn,hard,more

AUTHOR

STATUS

approved