A275010 a(n) is the hyper-operation of the digits of the number n = "abc" to a[b]c.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2

Offset

0,2

Comments

x[y]z is the square bracket notation of hyper-operation, see A054871 for definitions and key links.

If there is only one digit a=b=0. If there are two then a=0.

References

s

Links

Natan Arie' Consigli, Table of n, a(n) for n = 0..244

Formula

a(n) = (n mod 1000 - n mod 100 - n mod 10) [n mod 100 - n mod 10] n mod 10.

Example

a(9) = 0[0]9 = 9+1 = 10;
a(31) = 0[3]1 = 0^1 = 0;
a(119) = 1[1]9 = 1+9 = 10;
a(162) = 1[7]2 = 1^^^^^2 = 1;
a(228) = 2[2]8 = 2*8 = 16;
a(239) = 2[3]9 = 2^9 = 512;
a(242) = 2[4]2 = 2^^2 = 4;
a(253) = 2[5]3 = 2^^^3 = 65536.

Crossrefs

Sequence in context: A122638 A297235 A090175 * A010880 A261424 A097462

Adjacent sequences: A275007 A275008 A275009 * A275011 A275012 A275013

Keyword

nonn,fini,base

Author

Natan Arie Consigli, Nov 12 2016

Status

approved