A247207 4^(2^n) + 3^(2^n) + 2^(2^n) + 1.

10, 30, 354, 72354, 4338079554, 18448597098193370754, 340282370354622283774333836163326852354, 115792089237316207213755562747271079374483128445080168181132550891186006948354

Offset

0,1

Links

Table of n, a(n) for n=0..7.

Formula

a(n) = sum_{k = 1 .. 4} k^(2^n).

For all n > 1, a(n) = 54 mod 100.

Example

a(2) = 4^4 + 3^4 + 2^4 + 1 = 256 + 81 + 16 + 1 = 354.
a(3) = 4^8 + 3^8 + 2^8 + 1 = 65536 + 6561 + 256 + 1 = 72354.

Mathematica

Table[1 + Sum[k^(2^n), {k, 2, 4}], {n, 0, 7}]

Crossrefs

Cf. A091775, A000855.

Sequence in context: A256879 A064012 A276180 * A187521 A187624 A187633

Adjacent sequences: A247204 A247205 A247206 * A247208 A247209 A247210

Keyword

nonn,easy

Author

Alonso del Arte, Nov 25 2014

Status

approved