A014886 -id:A014886 - cp's OEIS frontend

A014887 n is equal to the number of 1's in all numbers <= n written in base 7.

1, 3930, 6044, 61879, 137256

Offset: 1

Module[{nn=137300,dc},dc=Accumulate[DigitCount[Range[nn],7,1]];Position[ Thread[ {Range[nn],dc}],?(#[[1]]==#[[2]]&),1,Heads-> False]]//Flatten (* _Harvey P. Dale, Oct 10 2021 *)

List proved complete by Hugo van der Sanden (cf. A014886).

A014888 n is equal to the number of 4s in all numbers <= n written in base 7.

Original entry on oeis.org

761729, 761730, 823543, 1585272, 1585273, 1647086, 2408815, 2408816, 2470629, 3232358, 3232359

Offset: 1

Olivier Gérard

Cf. A014778, A014886.

List proved complete by Hugo van der Sanden (cf. A014886).

A014889 n is equal to the number of 5s in all numbers <= n written in base 7.

Original entry on oeis.org

761664, 817499, 817500, 817507, 817508, 819609, 823543, 1585207, 1641042, 1641043, 1641050, 1641051, 1643152, 1647086, 2408750, 2464585, 2464586, 2464593, 2464594, 2466695, 2470629, 3232293, 3288128, 3288129, 3288136, 3288137, 3290238, 3294172, 4055836, 4111671, 4111672, 4111679, 4111680, 4113781

Offset: 1

Olivier Gérard

Index entries for linear recurrences with constant coefficients, signature (1, 0, 0, 0, 0, 0, 1, -1).

Cf. A014778.

LinearRecurrence[{1,0,0,0,0,0,1,-1},{761664,817499,817500,817507,817508,819609,823543,1585207},34] (* Harvey P. Dale, Apr 14 2020 *)

a(n) = a(n-1) + a(n-7) - a(n-8) for 8 < n <= 34. - Chai Wah Wu, Jun 06 2016

List proved complete by Hugo van der Sanden (cf. A014886).

A014890 n is equal to the number of 1's in all numbers <= n written in base 6.

Original entry on oeis.org

1, 421, 422, 423, 424, 425, 426, 432, 433, 1726, 3888, 3889, 4309, 4310, 4311, 4312, 4313, 4314, 4320, 4321, 9330

Offset: 1

Olivier Gérard

Cf. A014778.

List proved complete by Hugo van der Sanden (cf. A014886).

A014891 n is equal to the number of 2's in all numbers <= n written in base 6.

Original entry on oeis.org

3878, 3879, 3880, 3881, 3882, 3883, 3888, 46656, 50534, 50535, 50536, 50537, 50538, 50539, 50544

Offset: 1

Olivier Gérard

Cf. A014778.

Module[{nn=51000,d2},d2=Accumulate[DigitCount[#,6,2]&/@Range[nn]];Select[ Thread[ {Range[ nn],d2}],#[[1]]==#[[2]]&]][[;;,1]] (* Harvey P. Dale, Sep 04 2024 *)

List proved complete by Hugo van der Sanden (cf. A014886).

A014892 n is equal to the number of 4s in all numbers <= n written in base 6.

Original entry on oeis.org

42768, 44921, 44922, 44923, 44924, 44925, 46656, 89424, 91577, 91578, 91579, 91580, 91581, 93312, 136080, 138233, 138234, 138235, 138236, 138237, 139968, 182736, 184889, 184890, 184891, 184892, 184893

Offset: 1

Olivier Gérard

Cf. A014778.

List proved complete by Hugo van der Sanden (cf. A014886).

A014895 n is equal to the number of 3s in all numbers <= n written in base 5.

Original entry on oeis.org

2787, 2788, 2793, 2794, 2940, 3125, 5912, 5913, 5918, 5919, 6065, 6250, 9037, 9038, 9043, 9044, 9190

Offset: 1

Olivier Gérard

Cf. A014778.

List proved complete by Hugo van der Sanden (cf. A014886).

cp's OEIS Frontend

A014887 n is equal to the number of 1's in all numbers <= n written in base 7.

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A014888 n is equal to the number of 4s in all numbers <= n written in base 7.

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A014889 n is equal to the number of 5s in all numbers <= n written in base 7.

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A014890 n is equal to the number of 1's in all numbers <= n written in base 6.

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A014891 n is equal to the number of 2's in all numbers <= n written in base 6.

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A014892 n is equal to the number of 4s in all numbers <= n written in base 6.

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A014895 n is equal to the number of 3s in all numbers <= n written in base 5.

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