This site is supported by donations to The OEIS Foundation. Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A241290 The integer-valued quartic beginning: 0, 9, 0, 9, 7. 1
 0, 9, 0, 9, 7, -100, -471, -1330, -2966, -5733, -10050, -16401, -25335, -37466, -53473, -74100, -100156, -132515, -172116, -219963, -277125, -344736, -423995, -516166, -622578, -744625, -883766, -1041525, -1219491, -1419318, -1642725, -1891496, -2167480 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS At time of submission, <0, 9, 0, 9, 7> was the "smallest uninteresting number", in the sense that it was the least sequence of five decimal digits that was not retrieved when searching the encyclopedia (primarily offline using the sagemath interface "SloaneEncyclopedia"). The initial sequence <0, 9, 0, 9, 7> happens to define an integer-valued quartic: a(n) = -65 p_4(n) + 36 p_3(n) - 18 p_2(n) + 9 p_1(n), n >= 0, where the polynomials p_k(t) = binomial(t, k) are a basis for integer-valued polynomials. LINKS Wikipedia, Integer-valued polynomial Index entries for linear recurrences with constant coefficients, signature (5,-10,10,-5,1). FORMULA a(n) = -(65/24)*n^4 + (89/4)*n^3 - (1363/24)*n^2 + (185/4)*n. G.f.: x*(128*x^3-99*x^2+45*x-9) / (x-1)^5. - Colin Barker, Apr 19 2014 MAPLE A241290:=n->-(65/24)*n^4 + (89/4)*n^3 - (1363/24)*n^2 + (185/4)*n; seq(A241290(n), n=0..50); # Wesley Ivan Hurt, Apr 18 2014 MATHEMATICA Table[-(65/24)*n^4 + (89/4)*n^3 - (1363/24)*n^2 + (185/4)*n, {n, 0, 50}] (* Wesley Ivan Hurt, Apr 18 2014 *) PROG (Sage) a(n) = -(65/24)*n^4 + (89/4)*n^3 - (1363/24)*n^2 + (185/4)*n CROSSREFS Sequence in context: A237193 A132268 A252851 * A201298 A029687 A187426 Adjacent sequences:  A241287 A241288 A241289 * A241291 A241292 A241293 KEYWORD easy,sign AUTHOR Aaron J. Mansheim, Apr 18 2014 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified October 17 11:47 EDT 2019. Contains 328108 sequences. (Running on oeis4.)