A182294
Number of connected labeled graphs with n nodes and n+9 edges.
Original entry on oeis.org
0, 0, 0, 0, 0, 1, 20349, 21426300, 8956859646, 2352103292070, 470090359867986, 79002015147719136, 11836068369346126698, 1640443794179544776604, 215598057543037336382670, 27336005392867324870778880, 3385297472808136707459580488, 413211903044379104303226531072
Offset: 1
- Andrew Howroyd, Table of n, a(n) for n = 1..100
- Steven R. Finch, An exceptional convolutional recurrence, arXiv:2408.12440 [math.CO], 22 Aug 2024.
- S. Janson, D. E. Knuth, T. Łuczak and B. Pittel, The Birth of the Giant Component, Random Structures and Algorithms Vol. 4 (1993), 233-358.
-
N:=20: [seq(coeff(op(i,[seq(coeff(taylor(log(add(x^i*(1+y)^(binomial(i,2))/i!,i=0..N)),x=0,N+1),x,i)*i!,i=1..N)]),y,i-1+10),i=1..N)];
Offset corrected and terms a(16) and beyond from
Andrew Howroyd, Apr 16 2021
A182295
Number of connected labeled graphs with n nodes and n+10 edges.
Original entry on oeis.org
0, 0, 0, 0, 0, 0, 5985, 13112470, 8535294180, 3096620034795, 800118566011380, 166591475854153740, 30012638793107746776, 4892304538906805158775, 743352352817243899253160, 107478174967432322995403280, 15008321493306766503800761840, 2046331888629918743459557040544
Offset: 1
- Andrew Howroyd, Table of n, a(n) for n = 1..100
- Steven R. Finch, An exceptional convolutional recurrence, arXiv:2408.12440 [math.CO], 22 Aug 2024.
- S. Janson, D. E. Knuth, T. Łuczak and B. Pittel, The Birth of the Giant Component, Random Structures and Algorithms Vol. 4 (1993), 233-358.
-
N:=20: [seq(coeff(op(i,[seq(coeff(taylor(log(add(x^i*(1+y)^(binomial(i,2))/i!,i=0..N)),x=0,N+1),x,i)*i!,i=1..N)]),y,i-1+11),i=1..N)];
Offset corrected and terms a(16) and beyond from
Andrew Howroyd, Apr 16 2021
A182371
Number of connected labeled graphs with n nodes and n+11 edges.
Original entry on oeis.org
0, 0, 0, 0, 0, 0, 1330, 6905220, 7279892361, 3717889913655, 1255470137209650, 326123611416074340, 70993993399632155710, 13659118629343706026053, 2405832308811599670396135, 397496768417871214784702640, 62693059156926401902640364120, 9561367292987041683030275944320
Offset: 1
-
N:=20: [seq(coeff(op(i, [seq(coeff(taylor(log(add(x^i*(1+y)^(binomial(i, 2))/i!, i=0..N)), x=0, N+1), x, i)*i!, i=1..N)]), y, i-1+12), i=1..N)];
Offset corrected and terms a(17) and beyond from
Andrew Howroyd, Apr 16 2021