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A089697
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Smallest n-digit number k such that k+1 as well as the product of digits of k + 1 are squares greater than 1.
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1
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3, 24, 168, 1443, 12543, 118335, 1223235, 11323224, 111218115, 1112622735, 11127718143, 111234256323, 1111183732128, 11112128912195, 111121198291215, 1111117422231183, 11111117364211224, 111111275555616399, 1111251521961995715, 11111411997592513155
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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MAPLE
| readlib(issqr): Digits:=100: for d from 1 to 20 do for n from ceil(sqrt((10^d-1)/9+1)) to floor(sqrt(10^d)) do m:=mul(j, j=convert(n^2-1, base, 10)): if m<>0 and issqr(m+1) then printf("%d, ", n^2-1): break fi od od: (C. Ronaldo)
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CROSSREFS
| Cf. A081990, A089698.
Sequence in context: A094432 A104527 A058038 * A120741 A073985 A197209
Adjacent sequences: A089694 A089695 A089696 * A089698 A089699 A089700
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KEYWORD
| base,nonn
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AUTHOR
| Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Nov 10 2003
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EXTENSIONS
| More terms from C. Ronaldo (aga_new_ac(AT)hotmail.com), Dec 25 2004
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