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A052219 Numbers whose sum of digits is 5. 33
5, 14, 23, 32, 41, 50, 104, 113, 122, 131, 140, 203, 212, 221, 230, 302, 311, 320, 401, 410, 500, 1004, 1013, 1022, 1031, 1040, 1103, 1112, 1121, 1130, 1202, 1211, 1220, 1301, 1310, 1400, 2003, 2012, 2021, 2030, 2102, 2111, 2120, 2201, 2210, 2300, 3002 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

A007953(a(n)) = 5; number of repdigits = #{5,11111} = A242627(5) = 2. - Reinhard Zumkeller, Jul 17 2014

LINKS

Michael S. Branicky, Table of n, a(n) for n = 1..11628 (all terms through 15 digits; terms 1..1287 from Vincenzo Librandi and T. D. Noe, terms 1..462 from Vincenzo Librandi)

MATHEMATICA

Select[Range[10^4], Total[IntegerDigits[#]] == 5 &] (* Vincenzo Librandi, Mar 07 2013 *)

Union[Flatten[Table[FromDigits /@ Permutations[PadRight[s, 9]], {s, IntegerPartitions[5]}]]] (* T. D. Noe, Mar 08 2013 *)

PROG

(MAGMA) [n: n in [1..3010] | &+Intseq(n) eq 5 ]; // Vincenzo Librandi, Mar 07 2013

(Haskell)

a052219 n = a052219_list !! (n-1)

a052219_list = filter ((== 5) . a007953) [0..]

-- Reinhard Zumkeller, Jul 17 2014

(PARI) isok(n) = sumdigits(n) == 5; \\ Michel Marcus, Dec 28 2015

(Python)

from sympy.utilities.iterables import multiset_permutations

def auptodigs(maxdigits):

  alst = [5]

  for d in range(2, maxdigits+1):

    fulldigset = list("0"*(d-1) + "1111122345")

    for firstdig in "12345":

      target_sum, restdigset = 5-int(firstdig), fulldigset[:]

      restdigset.remove(firstdig)

      for p in multiset_permutations(restdigset, d-1):

        if sum(map(int, p)) == target_sum:

          alst.append(int(firstdig+"".join(p)))

          if int(p[0]) == target_sum: break

  return alst

print(auptodigs(4)) # Michael S. Branicky, May 14 2021

CROSSREFS

Cf. A007953.

Cf. A011557 (1), A052216 (2), A052217 (3), A052218 (4), A052220 (6), A052221 (7), A052222 (8), A052223 (9), A052224 (10), A166311 (11), A235151 (12), A143164 (13), A235225(14), A235226 (15), A235227 (16), A166370 (17), A235228 (18), A166459 (19), A235229 (20).

Cf. A242614, A242627.

Sequence in context: A085950 A043473 A017221 * A044057 A147825 A174263

Adjacent sequences:  A052216 A052217 A052218 * A052220 A052221 A052222

KEYWORD

nonn,base,easy

AUTHOR

Henry Bottomley, Feb 01 2000

EXTENSIONS

Offset changed from Bruno Berselli, Mar 07 2013

STATUS

approved

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Last modified October 23 16:20 EDT 2021. Contains 348215 sequences. (Running on oeis4.)