cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

Showing 1-3 of 3 results.

A112134 First differences of A112064.

Original entry on oeis.org

11, 24, 36, 24, 1, 59, 25, 11, 25, 59, 1, 24, 36, 24, 11, 49, 11, 24, 36, 24, 1, 59, 25, 11, 25, 59, 1, 24, 36, 24, 11, 49, 11, 24, 36, 24, 1, 59, 25, 11, 25, 59, 1, 24, 36, 24, 11, 49, 11, 24, 36, 24, 1, 59, 25, 11, 25, 59, 1, 24, 36, 24, 11, 49, 11, 24, 36, 24, 1, 59, 25, 11
Offset: 1

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Author

Antti Karttunen, Aug 28 2005

Keywords

Crossrefs

Period=16. Also half of the first differences of A112074. Cf. A112086.

A112060 Square array A(x,y) = y-th natural number k for which A112049(k)=x and 0 if no such k exists; read by antidiagonals A(1,1), A(2,1), A(1,2), A(3,1), A(2,2), ...

Original entry on oeis.org

1, 2, 3, 5, 4, 11, 6, 7, 12, 24, 9, 8, 23, 35, 60, 10, 15, 36, 59, 155, 84, 13, 16, 47, 95, 275, 239, 144, 14, 19, 48, 119, 335, 575, 779, 180, 17, 20, 71, 120, 359, 659, 1499, 2855, 264, 18, 27, 72, 179, 419, 839, 1535, 4199, 5279, 420, 21, 28, 83, 204, 504
Offset: 1

Views

Author

Antti Karttunen, Aug 27 2005

Keywords

Comments

This is a permutation of natural numbers provided that the sequence A112046 contains only prime values [which is true] and every prime occurs infinitely many times there.

Examples

			The top left corner of the array:
   1,  2,  5,  6,  9, 10, ...
   3,  4,  7,  8, 15, 16, ...
  11, 12, 23, 36, 47, ...

Links

Crossrefs

A112070(x, y) = 2*A(X, Y)+1. Transpose: A112061. Column 1: A112051. Row 1: A042963, Row 2: A112062, Row 3: A112063, Row 4: A112064, Row 5: A112065, Row 6: A112066, Row 7: A112067, Row 8: A112068, Row 9: A112069.
Cf. also A227196.

A112074 Odd numbers n for which 7 is the smallest i (>= 1) with Jacobi symbol J(i,n) getting either a value 0 or -1.

Original entry on oeis.org

49, 71, 119, 191, 239, 241, 359, 409, 431, 481, 599, 601, 649, 721, 769, 791, 889, 911, 959, 1031, 1079, 1081, 1199, 1249, 1271, 1321, 1439, 1441, 1489, 1561, 1609, 1631, 1729, 1751, 1799, 1871, 1919, 1921, 2039, 2089, 2111, 2161, 2279, 2281
Offset: 1

Views

Author

Antti Karttunen, Aug 27 2005

Keywords

Crossrefs

Row 4 of A112070. a(n) = 2*A112064(n)+1.
Showing 1-3 of 3 results.

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