A048711 2nd row of Family 1 "90 X 150 array": generations 0 .. n of Rule 90 starting from seed pattern 7.

7, 27, 119, 427, 1799, 6939, 30583, 109227, 458759, 1769499, 7798903, 27984299, 117901063, 454761243, 2004318071, 7158278827, 30064771079, 115964117019, 511101108343, 1833951035819, 7726646167303

Offset

0,1

Comments

Also generated by applying one generation of "Rule 150" to each term of A038183 or by doing a transformation SHIFTXORADJ(A038183)

Links

Table of n, a(n) for n=0..20.

N. J. A. Sloane, Transforms: Maple implementation of binary eXclusive OR (XORnos).

Formula

a(n) = product('((bit_i((n+1), i)*(2^(2^(i+1))))+1)', 'i'=0..floor_log_2(n+2)) + 2*product('((bit_i(n, i)*(2^(2^(i+1))))+1)', 'i'=0..floor_log_2(n+1));

Maple

# Maple procedure for doing Shift XOR adjacent terms transformation:
SHIFTXORADJ := proc(a) local b, i:
if whattype(a) <> list then RETURN([ ]); fi: if nops(a) <= 1 then RETURN([ ]); fi: b := [ ]:
for i from 2 to nops(a) do b := [ op(b), XORnos((a[ i-1 ]*2), a[ i ]) ]: od: RETURN(b); end:

Crossrefs

A048713.

Sequence in context: A056120 A255278 A294262 * A249184 A118101 A201380

Adjacent sequences: A048708 A048709 A048710 * A048712 A048713 A048714

Keyword

nonn

Author

Antti Karttunen.

Status

approved