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 1-6 of 6 results.

A097849 Maximal entry in row n of A097847 (or equally A097848).

Original entry on oeis.org

1, 1, 2, 2, 3, 2, 3, 3, 3, 3, 4, 3, 4, 4, 3, 4, 5, 3, 4, 3, 4, 4, 5, 3, 4, 4, 4, 4, 5, 4, 5, 4, 4, 5, 4, 4, 5, 5, 5, 4, 5, 4, 5, 4, 4, 5, 5, 4, 5, 5, 5, 5, 5, 4, 5, 4, 5, 5, 5, 4, 5, 5, 4, 5, 5, 5, 5, 5, 5, 4, 5, 4, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 4, 5, 5, 5, 5, 5, 4, 5, 5, 4, 5, 5, 5, 6, 5, 4
Offset: 1

Views

Author

Franklin T. Adams-Watters, Aug 31 2004

Keywords

Links

A097847 Triangle read by rows: T(n,k) = minimal number of terms needed to write k/n (for 1 <= k <= n) as a sum of unit fractions.

Original entry on oeis.org

1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 3, 1, 1, 1, 1, 2, 2, 1, 1, 2, 3, 2, 3, 3, 1, 1, 1, 2, 1, 2, 2, 3, 1, 1, 2, 1, 2, 2, 2, 3, 3, 1, 1, 1, 2, 2, 1, 2, 2, 3, 3, 1, 1, 2, 2, 2, 3, 2, 3, 4, 4, 4, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 3, 1, 1, 2, 3, 3, 3, 3, 2, 3, 3, 3, 3, 4, 1, 1, 1, 2, 2, 2, 3, 1, 2
Offset: 1

Views

Author

Franklin T. Adams-Watters, Aug 31 2004

Keywords

Examples

			Triangle begins:
1
1 1
1 2 1
1 1 2 1
1 2 2 3 1
1 1 1 2 2 1
1 2 3 2 3 3 1
1 1 2 1 2 2 3 1
1 2 1 2 2 2 3 3 1
1 1 2 2 1 2 2 3 3 1
1 2 2 2 3 2 3 4 4 4 1

Links

Crossrefs

Cf. A097848, A097849, A330808.
Row sums give A270429.

Formula

T(n, n-1) = A330808(n). - Jon E. Schoenfield, Jan 11 2020

A111860 a(n) = maximal value in row n of A111809.

Original entry on oeis.org

1, 2, 8, 6, 18, 6, 39, 14, 24, 20, 95, 12, 101, 41, 32, 30, 160, 26, 198, 27, 50, 94, 276, 24, 96, 103, 80, 42, 394, 30, 382, 62, 91, 165, 72, 36, 594, 200, 106, 54, 548, 45, 632, 93, 96, 278, 719, 48, 283, 98, 165, 104, 872, 78, 132, 75, 206, 392, 1020, 60, 1128, 384
Offset: 1

Views

Author

N. J. A. Sloane, based on communications from Franklin T. Adams-Watters, Nov 22 2005

Keywords

References

  • Franklin T. Adams-Watters, Posting to Seq Fan mailing list, Aug 21 2004

Links

Crossrefs

Cf. A097847, A097848, A097849, A111804, A111809, A111860.

Extensions

Corrected and extended by David Wasserman, Mar 20 2009

A111804 Triangle read by rows: for T(n,k), 1<=k<=n, gcd(k,n)=1, consider all representations of k/n as an Egyptian fraction; T(n,k) = minimal value of maximal denominator.

Original entry on oeis.org

1, 2, 3, 6, 4, 4, 5, 15, 10, 10, 6, 3, 7, 21, 21, 14, 14, 21, 8, 8, 8, 8, 9, 18, 9, 18, 9, 18, 10, 10, 5, 15, 11, 44, 44, 33, 33, 22, 22, 44, 44, 33, 12, 6, 4, 6, 13, 65, 39, 39, 52, 52, 26, 26, 39, 39, 52, 65, 14, 14, 21, 7, 21, 21, 15, 20, 10, 10, 5, 15, 6, 10, 16, 16, 16, 16, 16, 16
Offset: 1

Views

Author

N. J. A. Sloane, based on communications from Franklin T. Adams-Watters, Nov 22 2005

Keywords

Examples

			Triangle begins:
1
2
3 6
4 4
5 15 10 10
6 3
7 21 21 14 14 21
8 8 8 8
9 18 9 18 9 18
10 10 5 15
11 44 44 33 33 22 22 44 44 33
12 6 4 6
13 65 39 39 65 52 26 26 39 39 52 65

References

  • Franklin T. Adams-Watters, Posting to Seq Fan mailing list, Aug 21 2004

Links

Crossrefs

Cf. A097847, A097848, A097849, A111807, A111809, A111860.

Extensions

One term corrected by David Wasserman, Feb 17 2009

A111809 Triangle read by rows: for T(n,k), 1<=k<=n, gcd(k,n)=1, consider all representations of k/n as an Egyptian fraction; T(n,k) = minimal value of sum of denominators.

Original entry on oeis.org

1, 2, 3, 8, 4, 6, 5, 18, 12, 17, 6, 5, 7, 32, 39, 16, 23, 36, 8, 12, 10, 14, 9, 24, 12, 20, 17, 23, 10, 15, 7, 20, 11, 72, 48, 36, 47, 24, 35, 95, 72, 60, 12, 10, 7, 12, 13, 98, 71, 82, 95, 101, 28, 41, 47, 58, 71, 96, 14, 21, 34, 9, 34, 41, 15, 32, 16, 21, 8, 23, 13, 15, 16, 24, 20
Offset: 1

Views

Author

N. J. A. Sloane, based on communications from Franklin T. Adams-Watters, Nov 22 2005

Keywords

Comments

Row n has A000010(n) members. - David Wasserman, Mar 03 2009

Examples

			Triangle begins:
  1
  2
  3 8
  4 6
  5 18 12 17
  6 5
  7 32 39 16 23 36
  8 12 10 14
  9 24 12 20 17 23
  10 15 7 20
  11 72 48 36 47 24 35 95 72 60
  12 10 7 12

References

  • Franklin T. Adams-Watters, Posting to Seq Fan mailing list, Aug 21 2004

Links

Crossrefs

Cf. A097847, A097848, A097849, A111807, A111804, A111860.

Extensions

Corrected and extended by David Wasserman, Mar 03 2009
T(15, 14) corrected by David Wasserman, Mar 19 2009

A111807 a(n) = maximal value in row n of A111804.

Original entry on oeis.org

1, 2, 6, 4, 15, 6, 21, 8, 18, 15, 44, 12, 65, 21, 20, 16, 85, 18, 114, 20, 35, 44, 138, 24, 75, 65, 54, 28, 174, 30, 186, 32, 66, 85, 42, 36, 296, 114, 65, 40, 287, 42, 301, 44, 45, 138, 376, 48, 147, 75, 102, 65, 371, 54, 88, 56, 114, 174, 413, 60, 488, 186, 72, 64, 117, 66
Offset: 1

Views

Author

N. J. A. Sloane, based on communications from Franklin T. Adams-Watters, Nov 22 2005

Keywords

References

  • Franklin T. Adams-Watters, Posting to Seq Fan mailing list, Aug 21 2004

Links

Crossrefs

Cf. A097847, A097848, A097849, A111804, A111809, A111860.

Extensions

More terms from David Wasserman, Feb 18 2009
Showing 1-6 of 6 results.

Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

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