A061090 Squares the sum of the squares of whose digits are squares.

1, 4, 9, 100, 400, 676, 841, 900, 1444, 4225, 10000, 24025, 40000, 42025, 42436, 43264, 66049, 67600, 84100, 90000, 109561, 119716, 144400, 155236, 239121, 244036, 248004, 252004, 335241, 355216, 362404, 373321, 422500, 643204, 664225

Offset

1,2

Comments

Contains 10^(2k) for all k.

More generally, if k is in this sequence so is 100k. - Charles R Greathouse IV, Sep 20 2012

References

A. Murthy, Smarandache Pythagoras additive square sequence (to be published in Smarandache Notions Journal).

Links

Charles R Greathouse IV, Table of n, a(n) for n = 1..10000

Example

676 = 26^2, 6^2 + 7^2 + 6^2 = 121 = 11^2;
1444 = 38^2, 1^2 + 4^2 + 4^2 + 4^2 = 49 = 7^2.

Maple

readlib(issqr): for n from 1 to 2000 do L1 := convert(n^2, base, 10): if issqr(sum(L1[i]^2, i=1..nops(L1))) then printf(`%d, `, n^2) fi: od:

Prog

(PARI) ssd(n)=n=digits(n); sum(i=1, #n, n[i]^2)
v=List(); for(n=1, 1e4, if(issquare(ssd(n^2)), listput(v, n^2))); Vec(v) \\ Charles R Greathouse IV, Sep 20 2012

Crossrefs

Cf. A053057.

Sequence in context: A061869 A061270 A070254 * A061272 A117680 A042649

Adjacent sequences: A061087 A061088 A061089 * A061091 A061092 A061093

Keyword

nonn,base

Author

Amarnath Murthy, Apr 19 2001

Extensions

Corrected and extended by James A. Sellers, Apr 20 2001

Status

approved