

A048711


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


4



7, 27, 119, 427, 1799, 6939, 30583, 109227, 458759, 1769499, 7798903, 27984299, 117901063, 454761243, 2004318071, 7158278827, 30064771079, 115964117019, 511101108343, 1833951035819, 7726646167303
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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[ i1 ]*2), a[ i ]) ]: od: RETURN(b); end:


CROSSREFS

A048713.
Sequence in context: A055917 A056120 A255278 * A249184 A118101 A201380
Adjacent sequences: A048708 A048709 A048710 * A048712 A048713 A048714


KEYWORD

nonn


AUTHOR

Antti Karttunen.


STATUS

approved



