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Search: id:A038315
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| A038315 |
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Triangle whose (i,j)-th entry is binomial(i,j)*11^(i-j)*1^j. |
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2
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| 1, 11, 1, 121, 22, 1, 1331, 363, 33, 1, 14641, 5324, 726, 44, 1, 161051, 73205, 13310, 1210, 55, 1, 1771561, 966306, 219615, 26620, 1815, 66, 1, 19487171, 12400927, 3382071, 512435, 46585, 2541, 77, 1, 214358881, 155897368, 49603708
(list; table; graph; listen)
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OFFSET
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0,2
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COMMENT
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T(i,j) is the number of i-permutations of 12 objects a,b,c,d,e,f,g,h,i,j,k,l, with repetition allowed, containing j a's. - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Dec 21 2007
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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
11, 1
121, 22, 1
1331, 363, 33, 1
14641, 5324, 726, 44, 1
161051, 73205, 13310, 1210, 55, 1
1771561, 966306, 219615, 26620, 1815, 66, 1
19487171, 12400927, 3382071, 512435, 46585, 2541, 77, 1
214358881, 155897368, 49603708, 9018856, 1024870, 74536, 3388, 88, 1
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MAPLE
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for i from 0 to 8 do seq(binomial(i, j)*11^(i-j), j = 0 .. i) od; - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Dec 21 2007
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CROSSREFS
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Sequence in context: A130556 A120449 A101623 this_sequence A093158 A132098 A045998
Adjacent sequences: A038312 A038313 A038314 this_sequence A038316 A038317 A038318
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KEYWORD
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nonn,tabl,easy
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AUTHOR
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njas
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