A360437 - OEIS

%I #14 Feb 26 2023 20:44:23

%S 0,0,0,0,1,13,126,288,8160,110800,8552205,253822863,21802799690,

%T 1751958608840,231900341949104,8821242453833942,1943505339202134370,

%U 417503287597170065730,18004075657522393347770,7276527497090264178405240,2096206309349359523650043220

%N The number of labeled graphs on n nodes whose degree sequences realize the first n even terms of A001223 (the prime gap sequence).

%H Atabey Kaygun, <a href="https://kaygun.tumblr.com/post/637867244800573440/counting-graphs-with-a-prescribed-degree-sequence">Counting Graphs with a Prescribed Degree Sequence</a>

%H Atabey Kaygun, <a href="https://arxiv.org/abs/2101.02299">Enumerating Labeled Graphs that Realize a Fixed Degree Sequence</a>, arXiv:2101.02299 [math.CO], 2021.

%Y Cf. A001223, A339987.

%K nonn

%O 1,6

%A _Atabey Kaygun_, Feb 07 2023