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2002 AMC 10BProblem 23P21-25~4 minPrint
Sequences & SeriesFunctionsCompute small cases, spot the pattern, generalizeDefine states/recurrence and iterate

Let {ak}\{a_k\} be a sequence of integers such that a1=1a_1=1 and am+n=am+an+mn,a_{m+n}=a_m+a_n+mn, for all positive integers mm and n.n. Then a12a_{12} is

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Problem © Mathematical Association of America (MAA), American Mathematics Competitions. Reproduced for non-commercial educational use. Solution and commentary are original to this site.