A334558 Numbers m such that m^2 + p^2 = k^2, with p > 0, where p = A007954(m) = the product of digits of m.

429, 437, 598, 1938, 3584, 3875, 5576, 6864, 16758, 36828, 43778, 47775, 47859, 56637, 56672, 82928, 91798, 129584, 156782, 165688, 165838, 178857, 215985, 379488, 655578, 798847, 1881576, 2893337, 3918768, 4816872, 5439798, 5829795, 7558299, 9675288, 11943887

Offset

1,1

Links

Giovanni Resta, Table of n, a(n) for n = 1..147 (terms < 2*10^13)

Example

429 is a term as p = 4*2*9 = 72 and 429^2 + 72^2 = 189225 = 435^2.
16758 is a term as p = 1*6*7*5*8 = 1680 and 16758^2 + 1680^2 = 283652964 = 16842^2.

Prog

(PARI) isok(m) = my(p=vecprod(digits(m))); p && issquare(m^2 + p^2); \\ Michel Marcus, May 06 2020

Crossrefs

Cf. A007954, A000404, A078134, A334542, A334557.

Sequence in context: A231047 A177328 A243833 * A320712 A338344 A203612

Adjacent sequences: A334555 A334556 A334557 * A334559 A334560 A334561

Keyword

nonn,base

Author

Scott R. Shannon, May 06 2020

Status

approved