A309477 One of the two successive approximations up to 3^n for the 3-adic integer sqrt(-1/2).

0, 2, 2, 11, 11, 11, 254, 254, 4628, 11189, 30872, 89921, 444215, 444215, 2038538, 2038538, 30736352, 73783073, 73783073, 848624051, 2010885518, 8984454320, 29905160726, 61286220335, 61286220335, 626145293297, 626145293297, 3168011121626, 10793608606613, 33670401061574

Offset

0,2

Links

Seiichi Manyama, Table of n, a(n) for n = 0..1000

Formula

a(n) = 3^n - A309476(n) for n > 0.

Example

a(1) = (  2)_3 = 2,
a(2) = (  2)_3 = 2,
a(3) = (102)_3 = 11,
a(4) = (102)_3 = 11.

Prog

(PARI) {a(n) = if(n, 3^n-truncate(sqrt(-1/2+O(3^n))), 0)}

Crossrefs

Cf. A271222, A309475, A309476.

Sequence in context: A090525 A328455 A265530 * A126806 A279197 A121871

Adjacent sequences: A309474 A309475 A309476 * A309478 A309479 A309480

Keyword

nonn

Author

Seiichi Manyama, Aug 04 2019

Status

approved