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A060106 Numbers that are congruent to {1, 4, 6, 9, 11} mod 12. The Ebony keys on a piano, start with A0 = the 0th key. 4
1, 4, 6, 9, 11, 13, 16, 18, 21, 23, 25, 28, 30, 33, 35, 37, 40, 42, 45, 47, 49, 52, 54, 57, 59, 61, 64, 66, 69, 71, 73, 76, 78, 81, 83, 85, 88, 90, 93, 95, 97, 100, 102, 105, 107, 109, 112, 114, 117, 119, 121, 124, 126, 129, 131, 133, 136, 138, 141, 143, 145, 148 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

A piano sequence since if a(n) < 88 then A059620(a(n)) = 1.

LINKS

Colin Barker, Table of n, a(n) for n = 1..1000

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

FORMULA

a(n) = a(n-5) + 12.

a(n) = A081032(n) - 1 for 1 <= n <= 36. - Jianing Song, Oct 14 2019

From Colin Barker, Oct 14 2019: (Start)

G.f.: x*(1 + 3*x + 2*x^2 + 3*x^3 + 2*x^4 + x^5) / ((1 - x)^2*(1 + x + x^2 + x^3 + x^4)).

a(n) = a(n-1) + a(n-5) - a(n-6) for n>6.

(End)

PROG

(PARI) Vec(x*(1 + 3*x + 2*x^2 + 3*x^3 + 2*x^4 + x^5) / ((1 - x)^2*(1 + x + x^2 + x^3 + x^4)) + O(x^60)) \\ Colin Barker, Oct 14 2019

CROSSREFS

Cf. A059620, A081032. Complement of A060107.

Sequence in context: A190348 A189363 A189926 * A186222 A184814 A190001

Adjacent sequences:  A060103 A060104 A060105 * A060107 A060108 A060109

KEYWORD

easy,nonn

AUTHOR

Henry Bottomley, Feb 27 2001

STATUS

approved

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Last modified July 10 02:05 EDT 2020. Contains 335570 sequences. (Running on oeis4.)