A034326 Hours struck by a clock.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 1, 2, 3, 4, 5, 6, 7, 8, 9

Offset

1,2

Comments

Period 12: repeat [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12].

Links

Table of n, a(n) for n=1..81.

Gordon Hamilton and others, Integer Sequences K-12 (Banff 2015).

Gordon Hamilton and others, Additional Notes on Sequences Considered at Banff Conference.

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

Formula

From Wesley Ivan Hurt, Sep 23 2014: (Start)

a(n) = (n-1) mod 12 + 1.

a(n) = a(n-12), n > 12.

G.f.: 11 + 1/(1-x) + x * (x + 2*x^2 + 3*x^3 + 4*x^4 + 5*x^5 + 6*x^6 + 7*x^7 + 8*x^8 + 9*x^9 + 10*x^10 + 11*x^11) / (1-x^12). (End)

From M. F. Hasler, Sep 25 2014: (Start)

a(n) = A010881(n-1) + 1.

G.f.: Sum_{k=1..12} k*x^k/(1-x^12). (End)

a(n) = n - 12*floor((n-1)/12). - Mikael Aaltonen, Jan 03 2014

Maple

A034326:=n->((n-1) mod 12)+1: seq(A034326(n), n=1..100); # Wesley Ivan Hurt, Sep 23 2014

Mathematica

Table[Mod[n - 1, 12] + 1, {n, 100}] (* Wesley Ivan Hurt, Sep 23 2014 *)
PadRight[{}, 120, Range[12]] (* Harvey P. Dale, Aug 30 2020 *)

Prog

(PARI) A034326(n) = (n-1)%12 + 1 \\ Michael B. Porter, Feb 02 2010
(Haskell) A034326 n = succ (pred n `mod` 12) -- Walt Rorie-Baety, May 18 2012

Crossrefs

Cf. A010881 (n mod 12).

Sequence in context: A072778 A178787 A297241 * A053833 A167973 A087999

Adjacent sequences: A034323 A034324 A034325 * A034327 A034328 A034329

Keyword

nonn,easy

Author

Tae Su Chung (cts32(AT)hanmail.net)

Status

approved