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 1-4 of 4 results.

A182814 Main diagonal of table A182630.

Original entry on oeis.org

0, 2, 5, 9, 13, 17, 24, 29, 34, 39, 50, 56, 62, 68, 74, 90, 97, 104, 111, 118, 125, 147, 155, 163, 171, 179, 187, 195, 224, 233, 242, 251, 260, 269, 278, 287, 324, 334, 344, 354, 364, 374, 384, 394, 404, 450, 461, 472, 483, 494, 505, 516, 527, 538, 549, 605, 617, 629, 641, 653, 665, 677, 689, 701, 713, 725, 792, 805, 818, 831, 844, 857, 870, 883, 896, 909, 922, 935, 1014
Offset: 0

Views

Author

Omar E. Pol, Dec 06 2010

Keywords

Comments

Main diagonal of a table of congruences.

Crossrefs

Cf. A182630, A182631.

Programs

Formula

a(n) = A182630(n,n).

A182810 Array read by antidiagonals which lists the partition number of the numbers of the table A182630.

Original entry on oeis.org

1, 1, 1, 2, 2, 1, 3, 5, 3, 1, 5, 11, 7, 3, 1, 7, 22, 15, 11, 5, 2, 11, 42, 30, 30, 15, 7, 1, 15, 77, 56, 77, 42, 22, 5, 1, 22, 135, 101, 176, 101, 56, 22, 7, 2, 30, 231, 176, 385, 231, 135, 77, 30, 11, 3, 42, 385, 297, 792, 490, 297, 231, 101, 42, 15, 1
Offset: 0

Views

Author

Omar E. Pol, Dec 06 2010

Keywords

Examples

			...1....1....1....1....1....2....1....1....2....3....1.
...1....2....3....3....5....7....5....7...11...15....7.
...2....5....7...11...15...22...22...30...42...56...42.
...3...11...15...30...42...56...77..101..135..176..176.
...5...22...30...77..101..135..231..297..385..490..627.
...7...42...56..176..231..297..627..792.1002.1255.1958.

Crossrefs

Cf. A000041, A182630, A182631, A182814.

Programs

  • Maple
    A182810 := proc(n,k) combinat[numbpart](A182630(n,k)) ; end proc:

Formula

T(n,k) = A000041(A182630(n,k)), n,k >=0.

A182815 The third row of table A182630.

Original entry on oeis.org

2, 4, 5, 6, 7, 8, 8, 9, 10, 11, 10, 11, 12, 13, 14, 12, 13, 14, 15, 16, 17, 14, 15, 16, 17, 18, 19, 20, 16, 17, 18, 19, 20, 21, 22, 23, 18, 19, 20, 21, 22, 23, 24, 25, 26, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 26
Offset: 0

Views

Author

Omar E. Pol, Dec 06 2010

Keywords

Crossrefs

Cf. A002262, A094727, A182630, A182631.

Programs

  • Maple
    seq(A182630(2,n),n=0..80) ;

Formula

a(n) = A182630(2,n).

A182620 Triangle T(n,k) read by rows in which row n lists the divisors of n, written in base 2.

Original entry on oeis.org

1, 1, 10, 1, 11, 1, 10, 100, 1, 101, 1, 10, 11, 110, 1, 111, 1, 10, 100, 1000, 1, 11, 1001, 1, 10, 101, 1010, 1, 1011, 1, 10, 11, 100, 110, 1100, 1, 1101, 1, 10, 111, 1110, 1, 11, 101, 1111, 1, 10, 100, 1000, 10000, 1, 10001, 1, 10, 11
Offset: 1

Views

Author

Omar E. Pol, Nov 22 2010

Keywords

Comments

Numbers of triangle A027750, written in base 2.

Examples

			The divisors of 10 are 1, 2, 5, 10 then row 10 lists the binary numbers 1, 10, 101, 1010.
Triangle begins:
1,
1, 10,
1, 11,
1, 10, 100,
1, 101,
1, 10, 11, 110,
1, 111,
1, 10, 100, 1000,
1, 11, 1001,
1, 10, 101, 1010,
1, 1011,
1, 10, 11, 100, 110, 1100,

Links

Crossrefs

Cf. A007088, A027750, A182621, A182622, A182623, A182624, A182630.

Programs

  • Maple
    with(numtheory):for n from 1 to 10 do for d in divisors(n) do printf("%d, ",convert(d,binary)); od:printf("\n");od: # Nathaniel Johnston, Apr 19 2011
  • Mathematica
    Table[FromDigits[IntegerDigits[#,2]]&/@Divisors[n],{n,20}]//Flatten (* Harvey P. Dale, May 31 2018 *)

Formula

T(n,k) = A007088(A027750(n,k)).

Extensions

a(38)-a(55) from Nathaniel Johnston, Apr 19 2011
Showing 1-4 of 4 results.

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