A008321 Smallest number that is not the sum of squares of distinct earlier terms.

1, 2, 3, 6, 7, 8, 11, 12, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 38, 39, 42, 43, 44, 47, 48, 51, 52, 55, 56, 57, 60, 61, 66, 67, 70, 71, 72, 75, 76, 79, 80, 81, 82, 83, 84, 87, 88, 91, 92, 93, 96, 97, 102, 103, 106, 107, 108, 111, 112, 115

Offset

1,2

Comments

There is an isolated large gap between a(166) = 516 and a(167) = 6599859.

a(n) = n + 6600044 on the precise range 332 <= n <= 43558132219836.

References

Mihaly Bencze [Beneze], Smarandache Recurrence Type Sequences, Bull. Pure Appl. Sciences, Vol. 16E, No. 2 (1997), pp. 231-236.

F. Smarandache, Definitions solved and unsolved problems, conjectures and theorems in number theory and geometry, edited by M. Perez, Xiquan Publishing House, 2000.

F. Smarandache, Sequences of Numbers Involved in Unsolved Problems, Hexis, Phoenix, 2006.

Links

David W. Wilson, Table of n, a(n) for n = 1..10000

F. Smarandache, Definitions, Solved and Unsolved Problems, Conjectures, ...

F. Smarandache, Sequences of Numbers Involved in Unsolved Problems.

Eric Weisstein's World of Mathematics, Smarandache Sequences.

Example

59 is not in the sequence because it is a sum of squares of terms smaller than 59: 1^2 + 3^2 + 7^2.

Crossrefs

Sequence in context: A031470 A047223 A004435 * A064472 A276887 A276517

Adjacent sequences: A008318 A008319 A008320 * A008322 A008323 A008324

Keyword

nonn

Author

R. Muller

Extensions

More terms from David W. Wilson

Status

approved