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 1-10 of 11 results. Next

A048531 a(n) is the smallest value of m such that A002378(m), the m-th oblong number, contains exactly n 1's.

Original entry on oeis.org

3, 10, 105, 1010, 10203, 33928, 105551, 335128, 1054130, 12313046, 100573943, 333192303, 1054092885, 4261585525, 30184681729, 133083117303, 331829837885, 4136557897710, 11666683809854, 105410706823885, 333183899837885, 3333333637837885, 6466156610468989, 33928029520312720, 138242940872632303
Offset: 1

Views

Author

Patrick De Geest, May 15 1999

Keywords

Examples

			From _Jesse Sealand_, Oct 06 2019: (Start)
a(1) = 3 since A002378(3) = 12;
a(2) = 10 since A002378(10) = 110;
a(3) = 105 since A002378(105) = 11130;
a(4) = 1010 since A002378(1010) = 1021110, etc.
(End).
		

Crossrefs

Extensions

a(13)-a(16) from Lars Blomberg, Jun 10 2011
Name edited by Jesse Sealand, Oct 06 2019
a(17) from Giovanni Resta, Oct 09 2019
a(18)-a(25) from Max Alekseyev, Jul 24 2024

A048533 a(n) is the smallest value of m such that A002378(m), the m-th oblong number, contains exactly n 2's.

Original entry on oeis.org

1, 16, 141, 458, 1458, 10593, 36458, 471933, 471404, 3496458, 14930593, 149072541, 471446966, 149071198, 14907133333, 114989226548, 471404524016, 1510636363333, 14360440530228, 47140441472504, 149071332733333, 1490343155861166, 4712983368549333, 24955404665166666, 149070527690846966
Offset: 1

Views

Author

Patrick De Geest, May 15 1999

Keywords

Examples

			From _Jesse Sealand_, Oct 06 2019: (Start)
a(1) = 1 since A002378(1) = 2;
a(2) = 16 since A002378(16) = 272;
a(3) = 141 since A002378(141) = 20022;
a(4) = 458 since A002378(458) = 210222, etc.
(End).
		

Crossrefs

Extensions

a(15)-a(16) from Lars Blomberg, Jun 10 2011
Name edited by Jesse Sealand, Oct 06 2019
a(17) from Giovanni Resta, Oct 09 2019
a(18)-a(25) from Max Alekseyev, Jul 25 2024

A048535 a(n) is the smallest value of m such that A002378(m), the m-th oblong number, contains exactly n 3's.

Original entry on oeis.org

5, 36, 182, 1817, 4830, 5773, 153079, 577355, 3659694, 18366636, 182574188, 576484036, 1839384036, 17701331569, 36542213005, 485935528988, 1814754484036, 5755287250288, 5773506159694, 182738579159694, 230940107675430, 1820173984357898, 18202838331788627, 57475066797119386, 182305878493709942
Offset: 1

Views

Author

Patrick De Geest, May 15 1999

Keywords

Examples

			From _Jesse Sealand_, Oct 05 2019: (Start)
a(1) = 5 since A002378(5) = 30;
a(2) = 36 since A002378(36) = 1332;
a(3) = 182 since A002378(182) = 33306;
a(4) = 1817 since A002378(1817) = 3303306, etc.
(End)
		

Crossrefs

Programs

Extensions

a(13)-a(16) from Lars Blomberg, Jun 10 2011
Name edited by Jesse Sealand, Oct 05 2019
a(17) from Giovanni Resta, Oct 09 2019
a(18)-a(25) from Max Alekseyev, Jul 25 2024

A048537 a(n) is the smallest value of m such that A002378(m), the m-th oblong number, contains exactly n 4's.

Original entry on oeis.org

6, 66, 215, 681, 6681, 12018, 201115, 1531159, 6541784, 21058215, 156340764, 675098840, 5868938806, 6666461193, 120186956049, 586862372693, 1115546688777, 4176295540840, 66589372231193, 66634408865198, 210842150539318, 2108185118566309, 21011769217380159, 185591342591574215, 67412496945629038
Offset: 1

Views

Author

Patrick De Geest, May 15 1999

Keywords

Examples

			From _Jesse Sealand_, Oct 06 2019: (Start)
a(1) = 6 since A002378(6) = 42;
a(2) = 66 since A002378(66) = 4422;
a(3) = 215 since A002378(215) = 46440;
a(4) = 681 since A002378(681) = 464442, etc.
(End).
		

Crossrefs

Extensions

a(13)-a(16) from Lars Blomberg, Jun 10 2011
Name edited by Jesse Sealand, Oct 06 2019
a(17) from Giovanni Resta, Oct 09 2019
a(18)-a(25) from Max Alekseyev, Jul 25 2024

A048539 a(n) is the smallest value of m such that A002378(m), the m-th oblong number, contains exactly n 5's.

Original entry on oeis.org

7, 23, 74, 2248, 2292, 23506, 50552, 742667, 2357022, 22706949, 74555050, 703955648, 745020507, 3996943276, 74333434976, 244040827632, 505525029504, 5963015642907, 23548897033949, 156701172827632, 745354652534976, 758666893673274, 7453694087868501, 77198164845775648, 505525028614365003
Offset: 1

Views

Author

Patrick De Geest, May 15 1999

Keywords

Crossrefs

Extensions

a(14)-a(16) from Lars Blomberg, Jun 10 2011
a(17) added and name edited by Giovanni Resta, Oct 09 2019
a(18)-a(25) from Max Alekseyev, Jul 25 2024

A048541 a(n) is the smallest value of m such that A002378(m), the m-th oblong number, contains exactly n 6's.

Original entry on oeis.org

2, 60, 257, 816, 4082, 77887, 258237, 816512, 4546060, 25820081, 103276578, 815209584, 816472087, 2581876578, 24834787435, 258140787487, 1239623599592, 7978512779247, 78515384904912, 121105886176546, 816494743559742, 6608227190863421, 8164653370882732, 81281404248860431, 81649676463937177
Offset: 1

Views

Author

Patrick De Geest, May 15 1999

Keywords

Examples

			From _Jesse Sealand_, Oct 07 2019: (Start)
a(1) = 2 since A002378(2) = 6;
a(2) = 60 since A002378(60) = 3660;
a(3) = 257 since A002378(257) = 66306;
a(4) = 816 since A002378(816) = 666672, etc.
(End).
		

Crossrefs

Extensions

a(14)-a(16) from Lars Blomberg, Jun 10 2011
Name edited by Jesse Sealand, Oct 07 2019
a(17) from Giovanni Resta, Oct 09 2019
a(18)-a(25) from Max Alekseyev, Jul 25 2024

A048544 Smallest oblong (promic) number containing exactly n 7's.

Original entry on oeis.org

72, 11772, 771762, 757770, 77677782, 779777700, 7077772770, 778777127772, 7777770777090, 57777777767730, 7777577077877756, 177677777977777980, 17673737777477771772, 677777977779775677756, 1789771777777771777710, 7747977777770507777772, 298777877777767737777770
Offset: 1

Views

Author

Patrick De Geest, May 15 1999

Keywords

Crossrefs

Programs

  • Mathematica
    With[{pn=2*Accumulate[Range[430000000]]},Table[Select[pn,DigitCount[#,10,7] == n&,1],{n,12}]]//Flatten (* Harvey P. Dale, Aug 14 2017 *)
  • Python
    def A048544(n):
        k, m = 1, 2
        while True:
            if str(m).count('7') == n:
                return m
            k += 1
            m += 2*k # Chai Wah Wu, Mar 23 2018

Extensions

a(13)-a(17) from Giovanni Resta, Oct 09 2019

A048545 a(n) is the smallest value of m such that A002378(m), the m-th oblong number, contains exactly n 8's.

Original entry on oeis.org

13, 113, 886, 2861, 9213, 93855, 298053, 1359738, 2967970, 26189480, 220183761, 433461519, 3462498821, 28962801813, 43462498821, 722411301260, 942809540088, 9049247973113, 29354537778480, 195230348268113, 1970200215432144, 2426703296418144, 2233582298883761, 93802389568778480, 242669917148548480
Offset: 1

Views

Author

Patrick De Geest, May 15 1999

Keywords

Examples

			From _Jesse Sealand_, Oct 07 2019: (Start)
a(1) = 13 since A002378(13) = 182;
a(2) = 113 since A002378(113) = 12882;
a(3) = 886 since A002378(886) = 785882;
a(4) = 2861 since A002378(2861) = 8188182, etc.
(End).
		

Crossrefs

Extensions

a(13)-a(16) from Lars Blomberg, Jun 10 2011
Name edited by Jesse Sealand, Oct 07 2019
a(17) from Giovanni Resta, Oct 09 2019
a(18)-a(25) from Max Alekseyev, Jul 25 2024

A048547 a(n) is the smallest value of m such that A002378(m), the m-th oblong number, contains exactly n 9's.

Original entry on oeis.org

9, 31, 890, 2234, 14131, 30331, 173031, 969520, 9958890, 31617890, 360542549, 547631234, 3316547890, 17318486343, 114017542334, 356363452109, 3065925634968, 9995498986343, 44045425415132, 173193446755643, 1414213562370264, 4471015432706534, 31575306806579083, 171463720944111031, 141138230008594765
Offset: 1

Views

Author

Patrick De Geest, May 15 1999

Keywords

Examples

			From _Jesse Sealand_, Oct 07 2019: (Start)
a(1) = 9 since A002378(9) = 90;
a(2) = 31 since A002378(31) = 992;
a(3) = 890 since A002378(890) = 792990;
a(4) = 2234 since A002378(2234) = 4992990, etc.
(End).
		

Crossrefs

Extensions

a(13)-a(16) from Lars Blomberg, Jun 10 2011
Name edited by Jesse Sealand, Oct 07 2019
a(17) from Giovanni Resta, Oct 09 2019
a(18)-a(25) from Max Alekseyev, Jul 25 2024

A048529 a(n) is the smallest value of m such that A002378(m), the m-th oblong number, contains exactly n 0's.

Original entry on oeis.org

0, 24, 100, 624, 1000, 10001, 10000, 100001, 100000, 1000001, 1000000, 10000001, 10000000, 100000001, 100000000, 1000000001, 1000000000, 10000000001, 10000000000
Offset: 1

Views

Author

Patrick De Geest, May 15 1999

Keywords

Examples

			From _Jesse Sealand_, Oct 05 2019: (Start)
a(1) = 0 since A002378(0) = 0;
a(2) = 24 since A002378(24) = 600;
a(3) = 100 since A002378(100) = 10100;
a(4) = 624 since A002378(624) = 390000, etc.
(End).
		

Crossrefs

Programs

  • Mathematica
    a[n_] := Block[{a = 0}, While[Count[IntegerDigits[a*(a + 1)], 0] != n, ++a]; Return[a]]; a /@ Range[1, 10] (* Julien Kluge, Dec 15 2016 *)

Extensions

a(16)-a(19) from Lars Blomberg, Jun 10 2011
Name edited by Jesse Sealand, Oct 05 2019
Showing 1-10 of 11 results. Next