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Search: id:A109242
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| A109242 |
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Expansion of 1/((1-x)(1-10x)(1-100x)). |
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+0
2
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| 1, 111, 11211, 1122211, 112232211, 11223332211, 1122334332211, 112233444332211, 11223344544332211, 1122334455544332211, 112233445565544332211, 11223344556665544332211
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OFFSET
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0,2
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COMMENT
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Partial sums of A109241.
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FORMULA
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a(n)=10^(2n+3)/891-10^(n+1)/81+1/891; a(n)=111a(n-1)-1110a(n-2)+1000a(n-3).
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EXAMPLE
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The numbers of 1's, 2's, 3's etc. appearing occur according to
1:1,3,4,4,4,4,4,4...
2:0,0,1,3,4,4,4,4...
3:0,0,0,0,1,3,4,4,..
4:0,0,0,0,0,0,1,3,... etc. up to term 17, where 9->10 etc. changes the pattern.
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PROGRAM
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(Other) sage: [gaussian_binomial(n, 2, 10) for n in xrange(2, 14)] # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), May 27 2009]
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CROSSREFS
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Sequence in context: A100706 A111864 A098034 this_sequence A165155 A078270 A015262
Adjacent sequences: A109239 A109240 A109241 this_sequence A109243 A109244 A109245
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KEYWORD
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easy,nonn
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Jun 23 2005
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