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 A056578 a(n) = 1 + 2n + 3n^2 + 4n^3. 15
 1, 10, 49, 142, 313, 586, 985, 1534, 2257, 3178, 4321, 5710, 7369, 9322, 11593, 14206, 17185, 20554, 24337, 28558, 33241, 38410, 44089, 50302, 57073, 64426, 72385, 80974, 90217, 100138, 110761, 122110, 134209, 147082, 160753, 175246 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS FORMULA a(n) = (A053699(n+1) - A053699(n-1))/2 - 4n - 1. G.f.: (1 + 6*x + 15*x^2 + 2*x^3)/(1-x)^4. - Colin Barker, Jan 10 2012 EXAMPLE For n>4 this is 4321 translated from base n to base 10. MATHEMATICA f[n_]:=1+2*n+3*n^2+4*n^3; lst={}; Do[AppendTo[lst, f[n]], {n, 0, 5!}]; lst (* Vladimir Joseph Stephan Orlovsky, Feb 12 2010 *) CROSSREFS Note: 1 + 2x + 3x^2 + 4x^3 is the first derivative of 1 + x + x^2 + x^3 + x^4, i.e., A053699. Cf. A000012, A005408, A056109, A056579. Sequence in context: A217165 A154066 A035237 * A226797 A163716 A271662 Adjacent sequences:  A056575 A056576 A056577 * A056579 A056580 A056581 KEYWORD easy,nonn AUTHOR Henry Bottomley, Jun 29 2000 STATUS approved

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Last modified January 20 04:43 EST 2019. Contains 319323 sequences. (Running on oeis4.)