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 A084184 Partial sums of a Jacobsthal related sequence. 1
 0, 1, 2, 7, 10, 31, 42, 127, 170, 511, 682, 2047, 2730, 8191, 10922, 32767, 43690, 131071, 174762, 524287, 699050, 2097151, 2796202, 8388607, 11184810, 33554431, 44739242, 134217727, 178956970, 536870911, 715827882, 2147483647, 2863311530, 8589934591 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS Partial sums of A084183. LINKS Colin Barker, Table of n, a(n) for n = 0..1000 Index entries for linear recurrences with constant coefficients, signature (0,5,0,-4). FORMULA G.f.: x*(1+2*x+2*x^2) / ((1-x^2)*(1-4*x^2)). - typo fixed by Colin Barker, Sep 09 2016 a(2*n+1) = A083420(n). a(2*n) = 2*A002450(n) = 2*A001045(2*n). From Colin Barker, Sep 09 2016: (Start) a(n) = (5-(-1)^n)*(2^n-1)/6. a(n) = 5*a(n-2) - 4*a(n-4) for n>3. (End) MAPLE A084184:=n->(5-(-1)^n)*(2^n-1)/6: seq(A084184(n), n=0..50); # Wesley Ivan Hurt, Jan 28 2017 MATHEMATICA LinearRecurrence[{0, 5, 0, -4}, {0, 1, 2, 7}, 40] (* Harvey P. Dale, Jan 18 2015 *) PROG (PARI) concat(0, Vec(x*(1+2*x+2*x^2)/((1-x^2)*(1-4*x^2)) + O(x^40))) \\ Colin Barker, Sep 09 2016 CROSSREFS Cf. A001045, A002450, A083420, A084183. Sequence in context: A091295 A361931 A215407 * A015963 A293002 A056656 Adjacent sequences: A084181 A084182 A084183 * A084185 A084186 A084187 KEYWORD easy,nonn AUTHOR Paul Barry, May 19 2003 STATUS approved

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Last modified September 28 14:07 EDT 2023. Contains 365735 sequences. (Running on oeis4.)