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 A135526 Number of sums payable using exactly n banknotes of denominations 1, 5, 10, 20, 50, 100 (change allowable). 1
 1, 6, 33, 95, 188, 288, 388, 488, 588, 688, 788, 888, 988, 1088, 1188, 1288, 1388, 1488, 1588, 1688, 1788, 1888, 1988, 2088, 2188, 2288, 2388, 2488, 2588, 2688, 2788, 2888, 2988, 3088, 3188, 3288, 3388, 3488, 3588, 3688, 3788, 3888, 3988, 4088, 4188, 4288 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Terms and formula from Max Alekseyev and Robert Israel. LINKS G. C. Greubel, Table of n, a(n) for n = 0..1000 Index entries for linear recurrences with constant coefficients, signature (2,-1). FORMULA a(n) = 100*n - 212 for n>=4. From G. C. Greubel, Oct 17 2016: (Start) a(n) = 2*a(n-1) - a(n-2), for n >= 4. G.f.: (1 + 4*x + 22*x^2 + 35*x^3 + 31*x^4 + 7*x^5)/(1-x)^2. E.g.f.: (1/6)*( 1278 + 708*x + 135*x^2 + 7*x^3 - 24*(53 - 25*x)*exp(x) ). (End) MATHEMATICA Join[{1, 6, 33, 95}, LinearRecurrence[{2, -1}, {188, 288}, 25]] (* or *) Join[{1, 6, 33, 95}, Table[100*n -212, {n, 4, 25}]] (* G. C. Greubel, Oct 17 2016 *) CROSSREFS Cf. A124146, A135137, A135454. Sequence in context: A157872 A153127 A274218 * A204185 A057818 A063267 Adjacent sequences:  A135523 A135524 A135525 * A135527 A135528 A135529 KEYWORD nonn AUTHOR Zak Seidov, Feb 20 2008 EXTENSIONS Extended by Max Alekseyev, Mar 04 2009 STATUS approved

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Last modified October 22 12:30 EDT 2019. Contains 328318 sequences. (Running on oeis4.)