This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A001364 #28 Feb 01 2022 01:33:43 %S A001364 1,1,2,2,4,4,6,6,9,9,12,12,17,17,22,22,29,29,36,36,45,45,54,54,67,67, %T A001364 80,80,97,97,114,114,135,135,156,156,183,183,210,210,243,243,276,276, %U A001364 315,315,354,354,403,403,452,452,511,511,570,570,639,639,708,708 %N A001364 Number of ways of making change for n cents using coins of 1, 2, 4, 12, 24, 48, 96, 120 cents (based on English coinage of 1939). %C A001364 More precisely number of ways of making change for n farthings. The coins were farthing, halfpenny, penny, threepence, sixpence, shilling, florin, half-crown. %C A001364 Number of partitions of n into parts 1, 2, 4, 12, 24, 48, 96, and 120. - _Joerg Arndt_, Sep 05 2014 %D A001364 R. L. Graham, D. E. Knuth and O. Patashnik, Concrete Mathematics. Addison-Wesley, Reading, MA, 1990, p. 316. %D A001364 G. Pólya and G. Szegő, Problems and Theorems in Analysis, Springer-Verlag, NY, 2 vols., 1972, Vol. 1, p. 1. %H A001364 T. D. Noe, <a href="/A001364/b001364.txt">Table of n, a(n) for n = 0..1000</a> %H A001364 <a href="/index/Rec#order_307">Index entries for linear recurrences with constant coefficients</a>, order 307. %H A001364 <a href="/index/Mag#change">Index entries for sequences related to making change.</a> %F A001364 G.f.: 1/((1-x)*(1-x^2)*(1-x^4)*(1-x^12)*(1-x^24)*(1-x^48)*(1-x^96)*(1-x^120)). %t A001364 nn = 60; CoefficientList[Series[1/((1 - x^1) (1 - x^2) (1 - x^4) (1 - x^12) (1 - x^24) (1 - x^48) (1 - x^96) (1 - x^120)), {x, 0, nn}], x] %K A001364 nonn %O A001364 0,3 %A A001364 _N. J. A. Sloane_