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 A038243 Triangle whose (i,j)-th entry is binomial(i,j)*5^(i-j)*1^j. 5
 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; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Mirror image of A013612. - Zerinvary Lajos, 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, Dec 21 2007 Triangle of coefficients in expansion of (5+x)^n - N-E. Fahssi, Apr 13 2008 REFERENCES B. N. Cyvin et al., Isomer enumeration of unbranched catacondensed polygonal systems with pentagons and heptagons, Match, No. 34 (Oct 1996), pp. 109-121. LINKS FORMULA See A038207 and A027465 and replace 2 and 3 in analogous formulas with 5. - Tom Copeland, Oct 26 2012 EXAMPLE 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 MAPLE for i from 0 to 8 do seq(binomial(i, j)*5^(i-j), j = 0 .. i) od; # Zerinvary Lajos, Dec 21 2007 CROSSREFS Cf. A000351, A053464, A081135, A081143, A036071, A050982. Sequence in context: A123967 A162259 A077195 * A286231 A218016 A193685 Adjacent sequences:  A038240 A038241 A038242 * A038244 A038245 A038246 KEYWORD nonn,tabl,easy AUTHOR STATUS approved

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Last modified January 17 19:58 EST 2019. Contains 319251 sequences. (Running on oeis4.)