A032796 -id:A032796 - cp's OEIS frontend

0, 2, 4, 7, 9, 12, 14, 16, 19, 21, 24, 26, 28, 31, 33, 36, 38, 40, 43, 45, 48, 50, 52, 55, 57, 60, 62, 64, 67, 69, 72, 74, 76, 79, 81, 84, 86, 88, 91, 93, 96, 98, 100, 103, 105, 108, 110, 112, 115, 117, 120, 122, 124, 127, 129, 132, 134, 136, 139, 141, 144, 146, 148, 151

Offset: 1

Bill Shillito (DMAshura(AT)gmail.com), Oct 08 2010

Key-numbers of the pitches of a major pentatonic scale on a standard chromatic keyboard, with root = 0.

The pentatonic scale can also be obtained by omitting the 4th and 7th notes from the diatonic scale, so a(n) = A083026(A032796(n)). - Federico Provvedi, Sep 10 2022

G. C. Greubel, Table of n, a(n) for n = 1..10000 (terms 1..1000 from Vincenzo Librandi)
Wikipedia, Major pentatonic scale
Index entries for linear recurrences with constant coefficients, signature (1,0,0,0,1,-1).

Cf. A005843, A057354, A002266.

Subset of A083026 with exact index A032796.

Filtered([0..151],n->n mod 12 = 0 or n mod 12 = 2 or n mod 12 = 4 or n mod 12 = 7 or n mod 12 = 9); # Muniru A Asiru, Oct 24 2018

[Floor(12*(n-1)/5): n in [1..100]]; // G. C. Greubel, Oct 23 2018

seq(floor(12*(n-1)/5),n=1..65); # Muniru A Asiru, Oct 24 2018

fQ[n_] := MemberQ[{0, 2, 4, 7, 9}, Mod[n, 12]]; Select[ Range[0, 152], fQ] (* Robert G. Wilson v, Oct 09 2010 *)
Table[2n-1+Floor[(n-4)/5]+Floor[(n-1)/5],{n, 100}] (* Federico Provvedi, Jan 13 2018 *)
Quotient[12(Range[100]-1), 5] (* Federico Provvedi, Oct 19 2018 *)

a(n)=([0,1,0,0,0,0; 0,0,1,0,0,0; 0,0,0,1,0,0; 0,0,0,0,1,0; 0,0,0,0,0,1; -1,1,0,0,0,1]^n*[0;2;4;7;9;12])[1,1] \\ for offset 0; Charles R Greathouse IV, Jul 06 2017

vector(100, n, floor(12*(n-1)/5)) \\ G. C. Greubel, Oct 23 2018

G.f.: x^2*(2 + 2*x + 3*x^2 + 2*x^3 + 3*x^4) / ((x^4 + x^3 + x^2 + x + 1)*(x-1)^2). - R. J. Mathar, Jul 10 2015
a(n) = 2*n - 1 + floor((n-4)/5) + floor((n-1)/5). - Federico Provvedi, Jan 13 2018
a(n) = floor(12*(n-1)/5). - Federico Provvedi, Oct 19 2018
a(n) = A005843(n) + A057354(n). - Federico Provvedi, Sep 10 2022

Offset change by G. C. Greubel, Oct 23 2018

cp's OEIS Frontend

A047333 Duplicate of A032796.

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A175884 Numbers that are congruent to {0, 2, 4, 7, 9} mod 12.

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