Sequences

392,541 sequences

Number of ordered oriented multigraphs on n labeled arcs (with loops).A020561
Number of ordered oriented multigraphs on n labeled arcs (with loops).
Number of cyclic multigraphs on n labeled edges (without loops).A020562
Number of cyclic multigraphs on n labeled edges (without loops).
Number of cyclic multigraphs on n labeled edges (with loops).A020563
Number of cyclic multigraphs on n labeled edges (with loops).
Number of cyclic oriented multigraphs on n labeled arcs (without loops).A020564
Number of cyclic oriented multigraphs on n labeled arcs (without loops).
Number of cyclic oriented multigraphs on n labeled arcs (with loops).A020565
Number of cyclic oriented multigraphs on n labeled arcs (with loops).
Expansion of 1/((1-5x)(1-9x)(1-12x)).A020566
Expansion of 1/((1-5x)(1-9x)(1-12x)).
Expansion of 1/((1-5x)(1-10x)(1-11x)).A020567
Expansion of 1/((1-5x)(1-10x)(1-11x)).
G.f.: 1/((1-5x)(1-10x)(1-12x)).A020568
G.f.: 1/((1-5x)(1-10x)(1-12x)).
Expansion of 1/((1-5x)(1-11x)(1-12x)).A020569
Expansion of 1/((1-5x)(1-11x)(1-12x)).
Expansion of g.f. 1/((1-6*x)*(1-7*x)*(1-8*x)).A020570
Expansion of g.f. 1/((1-6*x)*(1-7*x)*(1-8*x)).
Expansion of g.f. 1/((1-6*x)*(1-7*x)*(1-9*x)).A020571
Expansion of g.f. 1/((1-6*x)*(1-7*x)*(1-9*x)).
Expansion of 1/((1-6x)(1-7x)(1-10x)).A020572
Expansion of 1/((1-6x)(1-7x)(1-10x)).
Expansion of 1/((1-6x)(1-7x)(1-11x)).A020573
Expansion of 1/((1-6x)(1-7x)(1-11x)).
Smallest nonempty set S containing prime divisors of k + 10 for each k in S.A020574
Smallest nonempty set S containing prime divisors of k + 10 for each k in S.
Smallest nonempty set S containing prime divisors of 2k + 1 for each k in S.A020575
Smallest nonempty set S containing prime divisors of 2k + 1 for each k in S.
Smallest nonempty set S containing prime divisors of 2k+3 for each k in S.A020576
Smallest nonempty set S containing prime divisors of 2k+3 for each k in S.
Expansion of 1/((1-6x)(1-7x)(1-12x)).A020577
Expansion of 1/((1-6x)(1-7x)(1-12x)).
Smallest nonempty set S containing prime divisors of 2k+7 for each k in S.A020578
Smallest nonempty set S containing prime divisors of 2k+7 for each k in S.
Expansion of g.f. 1/((1-6*x)*(1-8*x)*(1-9*x)).A020579
Expansion of g.f. 1/((1-6*x)*(1-8*x)*(1-9*x)).
Smallest nonempty set S containing prime divisors of 2k+9 for each k in S.A020580
Smallest nonempty set S containing prime divisors of 2k+9 for each k in S.
Smallest nonempty set S containing prime divisors of 3k+1 for each k in S.A020581
Smallest nonempty set S containing prime divisors of 3k+1 for each k in S.
Smallest nonempty set S containing prime divisors of 3k+4 for each k in S.A020582
Smallest nonempty set S containing prime divisors of 3k+4 for each k in S.
Smallest nonempty set S containing prime divisors of 3k+5 for each k in S.A020583
Smallest nonempty set S containing prime divisors of 3k+5 for each k in S.
Expansion of 1/((1-6x)(1-8x)(1-10x)).A020584
Expansion of 1/((1-6x)(1-8x)(1-10x)).
Smallest nonempty set S containing prime divisors of 3k+7 for each k in S.A020585
Smallest nonempty set S containing prime divisors of 3k+7 for each k in S.
Smallest nonempty set S containing prime divisors of 3k+8 for each k in S.A020586
Smallest nonempty set S containing prime divisors of 3k+8 for each k in S.
Smallest nonempty set S containing prime divisors of 4k+1 for each k in S.A020587
Smallest nonempty set S containing prime divisors of 4k+1 for each k in S.
Smallest nonempty set S containing prime divisors of 4k+2 for each k in S.A020588
Smallest nonempty set S containing prime divisors of 4k+2 for each k in S.
Smallest nonempty set S containing prime divisors of 4k+3 for each k in S.A020589
Smallest nonempty set S containing prime divisors of 4k+3 for each k in S.
Smallest nonempty set S containing prime divisors of 4k+5 for each k in S.A020590
Smallest nonempty set S containing prime divisors of 4k+5 for each k in S.
Smallest nonempty set S containing prime divisors of 4k+6 for each k in S.A020591
Smallest nonempty set S containing prime divisors of 4k+6 for each k in S.
Smallest nonempty set S containing prime divisors of 4k+7 for each k in S.A020592
Smallest nonempty set S containing prime divisors of 4k+7 for each k in S.
Expansion of 1/((1-6x)(1-8x)(1-11x)).A020593
Expansion of 1/((1-6x)(1-8x)(1-11x)).
Expansion of 1/((1-6x)(1-8x)(1-12x)).A020594
Expansion of 1/((1-6x)(1-8x)(1-12x)).
Expansion of g.f. 1/((1-6*x)*(1-9*x)*(1-10*x)).A020595
Expansion of g.f. 1/((1-6*x)*(1-9*x)*(1-10*x)).
Smallest nonempty set S containing prime divisors of 5k+2 for each k in S.A020596
Smallest nonempty set S containing prime divisors of 5k+2 for each k in S.
Smallest nonempty set S containing prime divisors of 5k+3 for each k in S.A020597
Smallest nonempty set S containing prime divisors of 5k+3 for each k in S.
Smallest nonempty set S containing prime divisors of 5k+4 for each k in S.A020598
Smallest nonempty set S containing prime divisors of 5k+4 for each k in S.
Smallest nonempty set S containing prime divisors of 5k+7 for each k in S.A020599
Smallest nonempty set S containing prime divisors of 5k+7 for each k in S.
Smallest nonempty set S containing prime divisors of 5k+8 for each k in S.A020600
Smallest nonempty set S containing prime divisors of 5k+8 for each k in S.
Smallest nonempty set S containing prime divisors of 5k+9 for each k in S.A020601
Smallest nonempty set S containing prime divisors of 5k+9 for each k in S.
Smallest nonempty set S containing prime divisors of 6k+1 for each k in S.A020602
Smallest nonempty set S containing prime divisors of 6k+1 for each k in S.
Smallest nonempty set S containing prime divisors of 6k+5 for each k in S.A020603
Smallest nonempty set S containing prime divisors of 6k+5 for each k in S.
Smallest nonempty set S containing prime divisors of 6k+7 for each k in S.A020604
Smallest nonempty set S containing prime divisors of 6k+7 for each k in S.
Smallest nonempty set S containing prime divisors of 6k+8 for each k in S.A020605
Smallest nonempty set S containing prime divisors of 6k+8 for each k in S.
Expansion of g.f. 1/((1-6*x)*(1-9*x)*(1-11*x)).A020606
Expansion of g.f. 1/((1-6*x)*(1-9*x)*(1-11*x)).
Smallest nonempty set S containing prime divisors of 7k + 1 for each k in S.A020607
Smallest nonempty set S containing prime divisors of 7k + 1 for each k in S.
Smallest nonempty set S containing prime divisors of 7k+3 for each k in S.A020608
Smallest nonempty set S containing prime divisors of 7k+3 for each k in S.
Smallest nonempty set S containing prime divisors of 7k+4 for each k in S.A020609
Smallest nonempty set S containing prime divisors of 7k+4 for each k in S.
Smallest nonempty set S containing prime divisors of 7k+5 for each k in S.A020610
Smallest nonempty set S containing prime divisors of 7k+5 for each k in S.