A166094 -id:A166094 - cp's OEIS frontend

A166091 Square array A(row>=0, col>=0) = (A166092(row,col)-3)/4, listed antidiagonally as A(0,0), A(0,1), A(1,0), A(0,2), A(1,1), A(2,0), ...

0, 1, 2, 3, 79, 4, 5, 151, 8, 103, 7, 175, 14, 409, 22, 9, 223, 15, 589, 43, 10, 11, 265, 25, 998, 143, 31, 12, 13, 275, 32, 1297, 157, 73, 20, 16, 17, 283, 62, 1364, 182, 158, 55, 28, 6, 19, 361, 69, 1891, 293, 164, 183, 34, 26, 52, 21, 373, 74, 1952, 397, 401

Offset: 0

Antti Karttunen, Oct 08 2009

Note: This is not a permutation of nonnegative integers, as for some odd n, A166040(n) gets even value, the first example being A166040(49)=32, thus 24 (= (49-1)/2) is missing from here, and correspondingly, 99 (= 2*49 + 1) is missing from A166092. Sequence A165602 gives the natural numbers missing from this table.

			The top left corner of the array:
0, 1, 3, 5, 7, 9, ...
2, 79, 151, 175, 223, 265, ...
4, 8, 14, 15, 25, 32, ...
103, 409, 589, 998, 1297, 1364, ...
22, 43, 143, 157, 182, 293, ...

A. Karttunen, Table of n, a(n) for n = 0..10010

See A166092. The leftmost column: A166094. The first five rows: A165468, A166052, A166054, A166056, A166058. Cf. also A112060.

A166096 Bisection of A166089. Leftmost column of A166092.

Original entry on oeis.org

3, 11, 19, 415, 91, 43, 51, 67, 27, 211, 491, 463, 227, 163, 75, 451, 347, 823, 123, 203, 283, 403, 307, 651, 375, 323, 267, 435, 411, 587, 667, 1099, 1251, 683, 515, 835, 2623, 827, 1183, 795, 483, 627, 1059, 707, 387, 987, 1635, 763, 343, 1907

Offset: 0

Antti Karttunen, Oct 08 2009

nonn

a(n) = the least integer i of the form 4k+3, with A166040(i) = 2n+1.

A. Karttunen, Table of n, a(n) for n = 0..1305

a(n) = A004767(A166094(n)) = A166089(A005408(n)) = A005408(A166087(A005408(n))). See also A166096.

A166093 a(n) gives the least i, for which A166085(i) = 2n.

Original entry on oeis.org

0, 1, 3, 5, 7, 15, 26, 13, 62, 33, 11, 35, 25, 55, 59, 43, 130, 71, 49, 29, 99, 67, 74, 167, 79, 85, 89, 95, 146, 121, 316, 47, 574, 115, 65, 399, 127, 31, 157, 199, 83, 309, 81, 193, 592, 235, 137, 197, 358, 277, 395, 271, 191, 351, 563, 119, 433, 347, 229, 61

Offset: 0

Antti Karttunen, Oct 08 2009

nonn

a(n) = (A166090(n)-1)/4. See also A166094, A166095.

cp's OEIS Frontend

A166091 Square array A(row>=0, col>=0) = (A166092(row,col)-3)/4, listed antidiagonally as A(0,0), A(0,1), A(1,0), A(0,2), A(1,1), A(2,0), ...

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A166096 Bisection of A166089. Leftmost column of A166092.

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A166093 a(n) gives the least i, for which A166085(i) = 2n.

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