login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A061869 Squares whose sum of digits as well as product of digits is a square (allowing zero). 2
0, 1, 4, 9, 100, 144, 400, 441, 900, 2025, 2304, 2601, 3600, 8100, 9025, 10000, 10201, 10404, 10609, 10816, 11025, 12100, 14400, 14884, 16900, 19600, 21904, 22500, 30625, 30976, 32400, 40000, 40401, 40804, 41209, 44100, 44944, 48400, 48841 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,3
LINKS
MAPLE
filter:= proc(t) local L;
L:= convert(t, base, 10);
issqr(convert(L, `+`)) and issqr(convert(L, `*`))
end proc:
select(filter, [seq(i^2, i=0..300)]); # Robert Israel, Feb 15 2023
MATHEMATICA
spdQ[n_]:=Module[{idn=IntegerDigits[n]}, IntegerQ[Sqrt[Total[idn]]] && IntegerQ[ Sqrt[Times@@idn]]]; Select[Range[300]^2, spdQ] (* Harvey P. Dale, Jan 24 2013 *)
CROSSREFS
A061267 does not allow zero products.
Subsequence of A061867.
Sequence in context: A087553 A061850 A061459 * A061270 A070254 A061090
KEYWORD
base,nonn
AUTHOR
Larry Reeves (larryr(AT)acm.org), May 11 2001
STATUS
approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 15 20:47 EDT 2024. Contains 371696 sequences. (Running on oeis4.)