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A245361 Numbers n such that (reversal of digits of n) + 1 is a square (ignoring leading zeros). 3

%I #15 May 24 2017 21:06:36

%S 3,8,30,36,42,51,53,80,84,99,300,323,341,360,384,387,420,422,426,510,

%T 530,552,575,576,591,800,825,827,840,861,882,990,993,998,3000,3032,

%U 3069,3072,3201,3230,3264,3276,3410,3441,3477,3483,3600,3633,3648,3671,3806

%N Numbers n such that (reversal of digits of n) + 1 is a square (ignoring leading zeros).

%C (Reversal of digits of prime p) plus 1 is square is given in A167217.

%H K. D. Bajpai, <a href="/A245361/b245361.txt">Table of n, a(n) for n = 1..6696</a>

%e 84 is in the sequence because reversal of its digits is 48 and 48 + 1 = 49 = 7^2.

%e 510 is in the sequence because reversal of its digits is 15 and 15 + 1 = 16 = 4^2.

%t Select[Range[10^4],IntegerQ[Sqrt[FromDigits[Reverse[IntegerDigits[#]]] + 1]] &]

%o (PARI)

%o revint(n) = eval(concat(Vecrev(Str(n))))

%o select(n->issquare(revint(n)+1), vector(4000, n, n)) \\ _Colin Barker_, Jul 20 2014

%Y Cf. A000290, A061230, A061457, A167217.

%K nonn,base

%O 1,1

%A _K. D. Bajpai_, Jul 18 2014

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Last modified September 1 12:47 EDT 2024. Contains 375591 sequences. (Running on oeis4.)