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Search: id:A159951
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| A159951 |
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Fibonacci integral quotients associated with the dividends in A159950 and the divisors in A003481 |
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1
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| 12, 856800, 139890541190400, 50664770469826998541056000, 40527253814267058837705250384270510080000, 71554565901386985191123530075861409411081105273676595200000
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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The first example of an integral quotient in the Fibonacci sequence is 12 because 240/20=12. 240 is the product of terms through 8, and 20 the sum. Thereafter, with every other additional pair of terms in the Fibonacci sequence, another integral quotient occurs.
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EXAMPLE
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The first three integral quotients occur in the Fibonacci sequence as illustrated in the table following: 1 1 2 3 -- 6/7=.85+ 5 8 -- 240/20=12 Integral 13 21 -- 65520/54=1213.33+ 34 55 -- 122522400/143=856800 Integral 89 144 -- 1570247078400/376=4176189038.29+ 233 377 -- 137932073613734400/986=139890541190400 Integral etc.
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PROGRAM
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(Other) UBASIC: 10 'Fibo 20 'R=SUM:S=PRODUCT 30 'T integral every other pair 40 A=1:S=1:print A; :S=S*1 50 B=1:print B; :S=S*B 60 C=A+B:print C; :R=R+C:S=S*C 70 D=B+C:print D; :R=R+D:R=R+2:print R:S=S*D:print S 80 T=S/R:if T=int(S/R) then print T:stop 90 A=C:B=D:R=R-2:goto 60
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CROSSREFS
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A159950 A001519 A001906 A003481 A033890
Sequence in context: A055323 A013796 A055312 this_sequence A013862 A116233 A145745
Adjacent sequences: A159948 A159949 A159950 this_sequence A159952 A159953 A159954
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KEYWORD
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easy,nonn
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AUTHOR
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Enoch Haga (enokh(AT)comcast.net), Apr 27 2009
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