A282384 Numbers n such that the decimal expansion of n^2 contains n+1.

11, 76, 101, 759, 1001, 2434, 3826, 5618, 10001, 36559, 47576, 62511, 67947, 68443, 82621, 100001, 105125, 312511, 684429, 880618, 1000001, 4687499, 5123596, 7130618, 8703826, 10000001, 26452434, 33620473, 38837976, 39904875, 43605459, 54687499, 86421306, 100000001

Offset

1,1

Comments

a(n)^2 is a subsequence of A186774, in particular A186774(a(n)) = a(n)^2. For k > 0, 10^k+1 is a term.

Links

Chai Wah Wu, Table of n, a(n) for n = 1..70

Example

76 is a term since 76^2 = 5776 contains 77 = 76+1.

Prog

(Python)
A282384_list = [i for i in range(1, 10**6) if str(i+1) in str(i**2)]

Crossrefs

Cf. A186774.

Sequence in context: A157232 A305661 A287330 * A092225 A282816 A055901

Adjacent sequences: A282381 A282382 A282383 * A282385 A282386 A282387

Keyword

nonn

Author

Chai Wah Wu, Feb 13 2017

Status

approved