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Search: id:A129954
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| 1, 3, 6, 14, 32, 72, 160, 352, 768, 1664, 3584, 7680, 16384, 34816, 73728, 155648, 327680, 688128, 1441792, 3014656, 6291456, 13107200, 27262976, 56623104, 117440512, 243269632, 503316480, 1040187392, 2147483648, 4429185024
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OFFSET
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0,2
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COMMENT
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First differences of A129953: a(n) = A129953(n+1) - A129953(n).
Essentially the same as A078836: a(n) = A078836(n+4) for n > 1.
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FORMULA
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a(0) = 1, a(1) = 3; for n > 1, a(n) = (n+4)*2^(n-2).
G.f.: (1-x)*(1-2*x^2)/(1-2*x)^2.
Binomial transform of [1, 2, 1, 4, 1, 6, 1, 8,...]. - Gary W. Adamson (qntmpkt(AT)yahoo.com), Sep 29 2007
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PROGRAM
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(MAGMA) m:=16; S:=&cat[ [ 1, 2*i ]: i in [0..m] ]; T:=[ &+[ Binomial(j-1, k-1)*S[k]: k in [1..j] ]: j in [1..2*m] ]; U:=[ T[n+1]-T[n]: n in[1..2*m-1] ]; [ U[n+1]-U[n]: n in[1..2*m-2] ]; /* Klaus Brockhaus, Jun 17 2007 */
(PARI) {m=29; print1(1, ", ", 3, ", "); for(n=2, m, print1((n+4)*2^(n-2), ", "))} /* Klaus Brockhaus, Jun 17 2007 */
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CROSSREFS
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Cf. A129952, A129953, A078836.
Sequence in context: A006356 A077998 A090165 this_sequence A114945 A003477 A078062
Adjacent sequences: A129951 A129952 A129953 this_sequence A129955 A129956 A129957
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KEYWORD
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nonn
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AUTHOR
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Paul Curtz (bpcrtz(AT)free.fr), Jun 10 2007
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EXTENSIONS
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Edited and extended by Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Jun 17 2007
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