A102510 -id:A102510 - cp's OEIS frontend

A102511 Sum(A008683(A102510(k)): k<=n).

1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1

Offset: 1

Reinhard Zumkeller, Jan 13 2005

nonn

0 <= a(n) <= 1, compare with A002321

A102512 A102510(A102510(n)).

Original entry on oeis.org

1, 2, 10, 4, 6, 14, 3, 8, 9, 11, 5, 12, 21, 7, 17, 16, 15, 18, 26, 20, 13, 33, 22, 24, 25, 35, 27, 28, 19, 30, 23, 32, 38, 34, 39, 36, 29, 37, 31, 40, 42, 46, 43, 44, 45, 41, 47, 48, 49, 50, 51, 52, 58, 54, 55, 56, 53, 57, 65, 60, 62, 61, 63, 64, 59, 74, 69, 68, 82, 66, 71, 72

Offset: 1

Reinhard Zumkeller, Jan 13 2005

nonn

Index entries for sequences that are permutations of the natural numbers

A102513 Inverse permutation to A102510.

Original entry on oeis.org

1, 2, 5, 4, 7, 3, 11, 8, 9, 6, 14, 12, 17, 10, 13, 16, 21, 18, 23, 20, 15, 19, 29, 24, 25, 22, 27, 28, 31, 34, 37, 32, 26, 30, 33, 36, 39, 35, 38, 40, 42, 46, 51, 44, 45, 41, 55, 48, 49, 50, 43, 52, 58, 54, 47, 56, 53, 57, 61, 60, 65, 59, 63, 64, 62, 67, 70, 68, 66, 73, 77, 72

Offset: 1

Reinhard Zumkeller, Jan 13 2005

nonn

Index entries for sequences that are permutations of the natural numbers

A090705 Lexicographically earliest permutation of squarefree numbers with mu(a(n)) = -(-1)^n, where mu = A008683.

Original entry on oeis.org

1, 2, 6, 3, 10, 5, 14, 7, 15, 11, 21, 13, 22, 17, 26, 19, 33, 23, 34, 29, 35, 30, 38, 31, 39, 37, 46, 41, 51, 42, 55, 43, 57, 47, 58, 53, 62, 59, 65, 61, 69, 66, 74, 67, 77, 70, 82, 71, 85, 73, 86, 78, 87, 79, 91, 83, 93, 89, 94, 97, 95, 101, 106, 102, 111, 103, 115, 105, 118

Offset: 1

Reinhard Zumkeller, Jan 01 2005

nonn

a(n) = A102510(A005117(n)).

Ivan Neretin, Table of n, a(n) for n = 1..1000
Eric Weisstein's World of Mathematics, Squarefree

Cf. A005117, A102511.

mx = 70; m = Select[Range[2 mx], SquareFreeQ]; m1 = Select[m, MoebiusMu[#] == 1 &]; m2 = Complement[m, m1]; a = Flatten[Transpose[{Take[m1, mx/2], Take[m2, mx/2]}]] (* Ivan Neretin, May 18 2015 *)

A102514 Inverse permutation to A102512.

Original entry on oeis.org

1, 2, 7, 4, 11, 5, 14, 8, 9, 3, 10, 12, 21, 6, 17, 16, 15, 18, 29, 20, 13, 23, 31, 24, 25, 19, 27, 28, 37, 30, 39, 32, 22, 34, 26, 36, 38, 33, 35, 40, 46, 41, 43, 44, 45, 42, 47, 48, 49, 50, 51, 52, 57, 54, 55, 56, 58, 53, 65, 60, 62, 61, 63, 64, 59, 70, 73, 68, 67, 79, 71, 72

Offset: 1

Reinhard Zumkeller, Jan 13 2005

nonn

Index entries for sequences that are permutations of the natural numbers

Cf. A102510, A102512.

cp's OEIS Frontend

A102511 Sum(A008683(A102510(k)): k<=n).

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A102512 A102510(A102510(n)).

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A102513 Inverse permutation to A102510.

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A090705 Lexicographically earliest permutation of squarefree numbers with mu(a(n)) = -(-1)^n, where mu = A008683.

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A102514 Inverse permutation to A102512.

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