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 A108495 (n^7-n)/6. 3
 0, 0, 21, 364, 2730, 13020, 46655, 137256, 349524, 797160, 1666665, 3247860, 5971966, 10458084, 17568915, 28476560, 44739240, 68389776, 102036669, 148978620, 213333330, 300181420, 415726311, 567470904, 764411900, 1017252600 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS Also integer sequences for (n^2-n)/1 (A002378 offset), (n^3-n)/2 (A027480 offset), (n^43-n)/42 (A108496) and (n^1807-n)/1806. LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..1000 Index to sequences with linear recurrences with constant coefficients, signature (8,-28,56,-70,56,-28,8,-1). FORMULA a(n) =(n-1)*A059721(n) =-A024004(n)*n/6. G.f.: 7*x^2*(3+28*x+58*x^2+28*x^3+3*x^4)/(1-x)^8. [Colin Barker, May 08 2012] EXAMPLE a(2) = (2^7-2)/6 = 126/6 = 21. PROG (MAGMA) [(n^7-n)/6: n in [0..40]]; // Vincenzo Librandi, May 02 2011 CROSSREFS Cf. A014117, A108497, A108499. Sequence in context: A006105 A167032 A051564 * A178351 A152182 A036904 Adjacent sequences:  A108492 A108493 A108494 * A108496 A108497 A108498 KEYWORD nonn,easy AUTHOR Henry Bottomley, Jun 06 2005 STATUS approved

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