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Search: id:A164897
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| 3, 11, 27, 51, 83, 123, 171, 227, 291, 363, 443, 531, 627, 731, 843, 963, 1091, 1227, 1371, 1523, 1683, 1851, 2027, 2211, 2403, 2603, 2811, 3027, 3251, 3483, 3723, 3971, 4227, 4491, 4763, 5043, 5331, 5627, 5931, 6243, 6563, 6891, 7227, 7571, 7923, 8283, 8651, 9027, 9411
(list; graph; listen)
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OFFSET
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0,1
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COMMENT
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Except for the first term, a(n)=8*n+a(n-1), (with a(1)=11) [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Oct 24 2009]
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FORMULA
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a(n) = A000124(2*n)+A000124(2*n+1) = A069894(n)+1.
a(n+1)-a(n) = 8n+8 = A008590(n+1) (first differences).
a(n+1)-2*a(n)+a(n-1) = 8 = A010731(n) (second differences).
a(n)=3*a(n-1)-3*a(n-2)+a(n-3). G.f.: (3+2*x+3*x^2)/(1-x)^3 .
a(n)=8*n+a(n-1)-8 (with a(1)=3) [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Nov 29 2009]
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EXAMPLE
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For n=2, a(2)=8*2+3-8=11; n=3, a(3)=8*3+11-8=27; n=4, a(4)=8*4+27-8=51 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Nov 29 2009]
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CROSSREFS
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Sequence in context: A011942 A101612 A123928 this_sequence A164845 A024194 A011941
Adjacent sequences: A164894 A164895 A164896 this_sequence A164898 A164899 A164900
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KEYWORD
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nonn,easy,new
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AUTHOR
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Paul Curtz (bpcrtz(AT)free.fr), Aug 30 2009
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EXTENSIONS
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Definition simplified by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Sep 16 2009
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