This site is supported by donations to The OEIS Foundation.

 Please make a donation to keep the OEIS running. We are now in our 55th year. In the past year we added 12000 new sequences and reached 8000 citations (which often say "discovered thanks to the OEIS"). We need to raise money to hire someone to manage submissions, which would reduce the load on our editors and speed up editing. Other ways to donate

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A277349 Expansion of Product_{k>=1} 1/(1 - x^(6*k+1)). 1

%I

%S 1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,2,1,1,0,0,1,2,2,

%T 1,1,0,1,3,3,2,1,1,1,3,4,3,2,1,2,4,5,5,3,2,2,5,7,6,5,3,3,6,9,9,7,5,4,

%U 7,11,12,10,7,6,9,14,16,14,11,8,11,17,20,19,15,12,14,21,26,25,21,17,18,26,32,33,28,23,24,32,41

%N Expansion of Product_{k>=1} 1/(1 - x^(6*k+1)).

%C Number of partitions of n into parts larger than 1 and congruent to 1 mod 6.

%H Robert Israel, <a href="/A277349/b277349.txt">Table of n, a(n) for n = 0..3000</a>

%H <a href="/index/Par#partN">Index entries for related partition-counting sequences</a>

%F G.f.: Product_{k>=1} 1/(1 - x^(6*k+1)).

%F a(n) ~ Pi^(1/6) * Gamma(1/6) * exp(sqrt(n)*Pi/3) / (24*sqrt(3)*n^(13/12)). - _Vaclav Kotesovec_, Oct 10 2016

%e a(26) = 2, because we have [19, 7] and [13, 13].

%p N:= 100:

%p G:= 1/mul(1-x^m,m=7..N,6):

%p S:= series(G,x,N+1):

%p seq(coeff(S,x,j),j=0..N); # _Robert Israel_, Jan 23 2019

%t CoefficientList[Series[(1 - x)/QPochhammer[x, x^6], {x, 0, 100}], x]

%Y Cf. A016921, A087897, A109701 (partial sums), A117957, A277210, A277264.

%K nonn

%O 0,27

%A _Ilya Gutkovskiy_, Oct 10 2016

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified December 16 00:33 EST 2019. Contains 330013 sequences. (Running on oeis4.)