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 A011542 Minimal number of coins needed to pay n cents using coins of sizes 1, 5, 10, 25, 50 cents. 5
 0, 1, 2, 3, 4, 1, 2, 3, 4, 5, 1, 2, 3, 4, 5, 2, 3, 4, 5, 6, 2, 3, 4, 5, 6, 1, 2, 3, 4, 5, 2, 3, 4, 5, 6, 2, 3, 4, 5, 6, 3, 4, 5, 6, 7, 3, 4, 5, 6, 7, 1, 2, 3, 4, 5, 2, 3, 4, 5, 6, 2, 3, 4, 5, 6, 3, 4, 5, 6, 7, 3, 4, 5, 6, 7, 2, 3, 4, 5, 6, 3, 4, 5, 6, 7, 3, 4, 5, 6, 7, 4, 5, 6, 7, 8, 4, 5, 6, 7, 8, 2, 3 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Alois P. Heinz, Table of n, a(n) for n = 0..1000 Index entries for linear recurrences with constant coefficients, signature (1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1). FORMULA G.f.: -(6*x^49 -x^48 -x^47 -x^46 -x^45 +4*x^44 -x^43 -x^42 -x^41 -x^40 +3*x^39 -x^38 -x^37 -x^36 -x^35 +4*x^34 -x^33 -x^32 -x^31 -x^30 +3*x^29 -x^28 -x^27 -x^26 -x^25 +5*x^24 -x^23 -x^22 -x^21 -x^20 +4*x^19 -x^18 -x^17 -x^16 -x^15 +3*x^14 -x^13 -x^12 -x^11 -x^10 +4*x^9 -x^8 -x^7 -x^6 -x^5 +3*x^4 -x^3 -x^2 -x -1)*x / (x^51-x^50-x+1). - Alois P. Heinz, Aug 04 2014 MATHEMATICA f[n_]:=Total[Quotient[Most[FoldList[Mod, n, {50, 25, 10, 5, 1}]], {50, 25, 10, 5, 1}]]; Table[f[n], {n, 1, 84}]  (* Geoffrey Critzer, May 04 2013 *) Table[Min[Total/@FrobeniusSolve[{1, 5, 10, 25, 50}, n]], {n, 0, 110}] (* Harvey P. Dale, Nov 10 2018 *) CROSSREFS Cf. A053344. Sequence in context: A159957 A053840 A010883 * A260688 A053344 A092196 Adjacent sequences:  A011539 A011540 A011541 * A011543 A011544 A011545 KEYWORD nonn,easy AUTHOR Frank J. Stadermann (df6s(AT)HRZPUB.th-darmstadt.de) STATUS approved

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Last modified July 30 09:01 EDT 2021. Contains 346357 sequences. (Running on oeis4.)