A369956 a(n) is the least integer m such that the sum of the digits of m^2 is k+n where k is the number of digits of n.

1, 101, 11, 2, 149, 32, 4, 12, 3, 8, 106, 16, 7, 103, 13, 108, 24, 17, 1019, 124, 43, 1013, 113, 67, 114, 63, 10024, 1024, 133, 83, 1067, 167, 1044, 264, 314, 10087, 1303, 313, 10093, 1183, 707, 1374, 1333, 836, 10343, 1667, 100264, 10714, 2236, 10386, 3114

Offset

0,2

Links

Zhining Yang, Table of n, a(n) for n = 0..152

Example

a(5)=32 because 32 is the least integer with 2 digits and 32^2=1024 and 1+0+2+4=2+5.

Mathematica

Table[SelectFirst[Range@200000, Total[IntegerDigits[#^2]]==n+Length@IntegerDigits@#&], {n, 0, 50}]

Crossrefs

Cf. A004159, A369953, A369955.

Sequence in context: A084045 A085419 A083982 * A381099 A029948 A174926

Adjacent sequences: A369953 A369954 A369955 * A369957 A369958 A369959

Keyword

nonn,base,easy

Author

Zhining Yang, Feb 06 2024

Status

approved