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0, 1, 13, 127, 1105, 9031, 70993, 543607, 4085185, 30275911, 222009073, 1614529687, 11664504865, 83828316391, 599858908753, 4277376525367, 30411820662145, 215703854542471, 1526853641242033, 10789535445362647
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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FORMULA
| G.f.: x/((1-6x)(1-7x)).
E.g.f.: e^(7*x)-e^(6*x). [From Mohammad K. Azarian (azarian(AT)evansville.edu), Jan 14 2009]
a(0)=0, a(n)=7*a(n-1)+6^(n-1). [From Vincenzo Librandi, Feb 09 2011]
a(0)=0, a(1)=1, a(n)=13*a(n-1)-42*a(n-2). [From Vincenzo Librandi, Feb 09 2011]
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MAPLE
| a:=n->sum(6^(n-j)*binomial(n, j), j=1..n): seq(a(n), n=0..19); # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 18 2009]
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MATHEMATICA
| Join[{a=0, b=1}, Table[c=13*b-42*a; a=b; b=c, {n, 60}]](*and/or*)f[n_]:=7^n-6^n; f[Range[0, 60]] (*From Vladimir Joseph Stephan Orlovsky, Feb 01 2011*)
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CROSSREFS
| Cf. A016177, A016189.
Sequence in context: A202122 A201086 A139786 * A125401 A089763 A124298
Adjacent sequences: A016166 A016167 A016168 * A016170 A016171 A016172
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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