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Search: id:A038243
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| A038243 |
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Triangle whose (i,j)-th entry is binomial(i,j)*5^(i-j)*1^j. |
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5
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| 1, 5, 1, 25, 10, 1, 125, 75, 15, 1, 625, 500, 150, 20, 1, 3125, 3125, 1250, 250, 25, 1, 15625, 18750, 9375, 2500, 375, 30, 1, 78125, 109375, 65625, 21875, 4375, 525, 35, 1, 390625, 625000, 437500, 175000, 43750, 7000, 700, 40, 1, 1953125
(list; table; graph; listen)
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OFFSET
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0,2
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COMMENT
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Mirror image of A013612. - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Nov 25 2007
T(i,j) is the number of i-permutations of 6 objects a,b,c,d,e,f, with repetition allowed, containing j a's. - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Dec 21 2007
Triangle of coefficients in expansion of (5+x)^n - Nour-Eddine Fahssi (fahssin(AT)yahoo.fr), Apr 13 2008
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REFERENCES
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B. N. Cyvin et al., Isomer enumeration of unbranched catacondensed polygonal systems with pentagons and heptagons, Match, No. 34 (Oct 1996), pp. 109-121.
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EXAMPLE
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1
5, 1
25, 10, 1
125, 75, 15, 1
625, 500, 150, 20, 1
3125, 3125, 1250, 250, 25, 1
15625, 18750, 9375, 2500, 375, 30, 1
78125, 109375, 65625, 21875, 4375, 525, 35, 1
390625, 625000, 437500, 175000, 43750, 7000, 700, 40, 1
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MAPLE
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for i from 0 to 8 do seq(binomial(i, j)*5^(i-j), j = 0 .. i) od; - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Dec 21 2007
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CROSSREFS
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Cf. A000351, A053464, A081135, A081143, A036071, A050982.
Sequence in context: A123967 A162259 A077195 this_sequence A075500 A096645 A140713
Adjacent sequences: A038240 A038241 A038242 this_sequence A038244 A038245 A038246
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KEYWORD
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nonn,tabl,easy
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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