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 A071691 Number of ways to write n as n = x!+y!+z!+t! with 0<=x<=y<=z<=t<=n. 0
 0, 0, 0, 5, 4, 3, 2, 1, 4, 3, 2, 1, 0, 3, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 4, 3, 2, 1, 0, 3, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 3, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,4 COMMENTS If a(n) > 1, a(n+1) = a(n) - 1. Since numbers of the form n! are rare, sequence behaves quite regularly. - Lambert Klasen (lambert.klasen(AT)gmx.de), Dec 23 2004 LINKS Table of n, a(n) for n=1..105. PROG (PARI) for(n=1, 54, print1(sum(a=0, n, sum(b=0, a, sum(c=0, b, sum(d=0, c, if(a!+b!+c!+d!-n, 0, 1))))), ", ")) CROSSREFS Sequence in context: A031016 A261302 A284803 * A319332 A031017 A266084 Adjacent sequences: A071688 A071689 A071690 * A071692 A071693 A071694 KEYWORD easy,nonn AUTHOR Benoit Cloitre, Jun 23 2002 EXTENSIONS More terms from Lambert Klasen (lambert.klasen(AT)gmx.de), Dec 23 2004 STATUS approved

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Last modified November 29 07:03 EST 2023. Contains 367429 sequences. (Running on oeis4.)