login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

a(n) is the number of possible standard CMOS cells with a maximum of n stages.
0

%I #18 Dec 15 2022 14:21:53

%S 1,6,80,3434

%N a(n) is the number of possible standard CMOS cells with a maximum of n stages.

%C My colleague, Hagen Sankowski, has independently verified the first few numbers and then stumbled across the paper from 1981.

%H Sankowski, <a href="https://github.com/chipforge/StdCellLib">GitHub repository of the StdCellLib software</a> which we are generating standard cells, which we used to re-discover the sequence with.

%H Uehara & Vancleemput, <a href="https://doi.org/10.1109/TC.1981.1675787">Optimal Layout of CMOS Functional Arrays</a>, IEEE Transactions on Computers, 1981, C-30(5), 305-312.

%e For n = 2 there are 6 possible different standard cells with a maximum of 2 stages.

%K nonn,more

%O 1,2

%A _Philipp Gühring_, Oct 26 2022