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A048727
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a(n) = Xmult(n,7) or rule150(n,1)
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6
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0, 7, 14, 9, 28, 27, 18, 21, 56, 63, 54, 49, 36, 35, 42, 45, 112, 119, 126, 121, 108, 107, 98, 101, 72, 79, 70, 65, 84, 83, 90, 93, 224, 231, 238, 233, 252, 251, 242, 245, 216, 223, 214, 209, 196, 195, 202, 205, 144
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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EXAMPLE
| Sequence gives binary encodings of polynomials in maximal ideal generated by x^2 + x + 1 in the polynomial ring GF(2)[X]. E.g. 1 * x^2+x+1 = x^2 +x+1 = 111 (binary encoding) = 7 (in decimal) x * x^2+x+1 = x^3+x^2+x = 1110 = 14 x+1 * x^2+x+1 = x^3+1 = 1001 = 9 x^2 * x^2+x+1 = x^4+x^3+x^2 = 11100 = 28 x^2+1 * x^2+x+1 = x^4+x^3+x+1 = 11011 = 27 etc.
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CROSSREFS
| A048720, A048705, A048710, A048725, A048730.
Sequence in context: A160534 A022699 A102654 * A196178 A064666 A040042
Adjacent sequences: A048724 A048725 A048726 * A048728 A048729 A048730
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KEYWORD
| nonn
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AUTHOR
| Antti Karttunen, Apr 26 1999
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