A207790 -id:A207790 - cp's OEIS frontend

A207800 Permutation of positive numbers. See comments.

1, 2, 3, 4, 7, 8, 5, 16, 15, 32, 6, 64, 11, 128, 9, 256, 31, 512, 10, 1024, 13, 2048, 12, 4096, 23, 8192, 17, 16384, 14, 32768, 18, 65536, 63, 131072, 20, 262144, 19, 524288, 24, 1048576, 27, 2097152, 33, 4194304, 21, 8388608, 34, 16777216, 47, 33554432, 36, 67108864, 22, 134217728, 40

Offset: 1

Vladimir Shevelev and Peter J. C. Moses, Feb 20 2012

nonn

a(1)=1; on places 2,4,6,8,... we put 2^m, m=1,2,3,..., i.e., numbers n with A000120(n)=1; on places 3,7,11,15,... we put numbers n with A000120(n)=2; on places 5,13,21,29,... we put numbers n with A000120(n)=3; etc.

For general description of the order, see comment in A207790.

Cf. A207790.

a(n) = A066884(A209268(A065190(n))). Equivalently, a(n) = A067576(A249725(A065190(n))). - Ivan Neretin, Apr 30 2016

a(30) corrected by Ivan Neretin, Apr 30 2016

A207801 Permutation of positive numbers. See comments.

Original entry on oeis.org

1, 2, 3, 4, 5, 6, 9, 8, 7, 10, 15, 12, 25, 14, 21, 16, 11, 18, 27, 20, 35, 22, 33, 24, 49, 26, 39, 28, 55, 30, 45, 32, 13, 34, 51, 36, 65, 38, 57, 40, 77, 42, 63, 44, 85, 46, 69, 48, 121, 50, 75, 52, 95, 54, 81, 56, 91, 58, 87, 60, 115, 62, 93, 64, 17, 66, 99, 68, 125, 70, 105, 72, 119, 74

Offset: 1

Vladimir Shevelev and Peter J. C. Moses, Feb 20 2012

nonn

a(1)=1; on places 2,4,6,8,... we put the same numbers, i.e., numbers with the least prime divisor p_1=2; on places 3,7,11,15,... we put numbers with the least prime divisor p_2=3; on places 5,13,21,29,... we put numbers with the least prime divisor p_3=5; etc.

For general description of the order, see comment in A207790.

Ivan Neretin, Table of n, a(n) for n = 1..8192

Cf. A207790, A207800.

a = Array[1 &, mx = 74]; cnt = mx - 1; offs = Table[2^(i - 1) + 1, {i, 1, mx}]; n = 1; While[cnt > 0, n++; idx = PrimePi[FactorInteger[n][[1, 1]]]; pos = offs[[idx]]; If[pos > mx, Continue[]]; offs[[idx]] += 2^idx; a[[pos]] = n; cnt--]; a (* Ivan Neretin, May 06 2015 *)

For n>1, a(n) = A083140(1+A209268(n-1)). Equivalently, a(n) = A083221(1+A249725(n-1)). - Ivan Neretin, Apr 30 2016

A207802 Permutation of positive numbers. See comments.

Original entry on oeis.org

1, 2, 3, 4, 5, 8, 6, 16, 7, 32, 9, 64, 10, 128, 12, 256, 11, 512, 18, 1024, 15, 2048, 24, 4096, 14, 8192, 27, 16384, 20, 32768, 36, 65536, 13, 131072, 48, 262144, 25, 524288, 54, 1048576, 21, 2097152, 72, 4194304, 30, 8388608, 81, 16777216, 22, 33554432, 96, 67108864, 40, 134217728, 108

Offset: 1

Vladimir Shevelev and Peter J. C. Moses, Feb 20 2012

nonn

a(1)=1; on places 2,4,6,8,... we put 2^m, m=1,2,3,..., i.e., numbers with the greatest prime divisor p_1=2; on places 3,7,11,15,... we put numbers with the greatest prime divisor p_2=3; on places 5,13,21,29,... we put numbers with the greatest prime divisor p_3=5; etc.

For general description of the order, see the comment in A207790.

Cf. A207790, A207800, A207801.

For n>1, a(n) = A125624(A209268(n-1)). - Ivan Neretin, Apr 30 2016

a(30) fixed by Ivan Neretin, Apr 30 2016

cp's OEIS Frontend

A207800 Permutation of positive numbers. See comments.

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A207801 Permutation of positive numbers. See comments.

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A207802 Permutation of positive numbers. See comments.

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