A061385 -id:A061385 - cp's OEIS frontend

A061388 Sum of digits = 5 times number of digits.

5, 19, 28, 37, 46, 55, 64, 73, 82, 91, 159, 168, 177, 186, 195, 249, 258, 267, 276, 285, 294, 339, 348, 357, 366, 375, 384, 393, 429, 438, 447, 456, 465, 474, 483, 492, 519, 528, 537, 546, 555, 564, 573, 582, 591, 609, 618, 627, 636, 645, 654, 663, 672, 681

Offset: 1

Amarnath Murthy, May 03 2001

			186 is a term as the arithmetic mean of the digits is (1+8+6)/3 = 5.

Delbert L. Johnson, Table of n, a(n) for n = 1..20000

Cf. A061383, A061384, A061385, A061386, A061387, A061423, A061424, A061425.

[ n: n in [1..700] | &+Intseq(n) eq 5*#Intseq(n) ];  // Bruno Berselli, Jun 30 2011

Select[Range[685],Total[x=IntegerDigits[#]]==5*Length[x] &]

More terms from Larry Reeves (larryr(AT)acm.org), May 16 2001

A061423 Sum of digits = 6 times number of digits.

Original entry on oeis.org

6, 39, 48, 57, 66, 75, 84, 93, 189, 198, 279, 288, 297, 369, 378, 387, 396, 459, 468, 477, 486, 495, 549, 558, 567, 576, 585, 594, 639, 648, 657, 666, 675, 684, 693, 729, 738, 747, 756, 765, 774, 783, 792, 819, 828, 837, 846, 855, 864, 873, 882, 891, 909

Offset: 1

Amarnath Murthy, May 03 2001

			288 is a term as the arithmetic mean of the digits is (2+8+8)/3 = 6.

Harvey P. Dale, Table of n, a(n) for n = 1..1000

Cf. A061383, A061384, A061385, A061386, A061387, A061388, A061424, A061425.

[n: n in [1..1000] | &+Intseq(n) eq 6*#Intseq(n)]; // Vincenzo Librandi, Jan 28 2016

F:= proc(m,s)
option remember;
# list of all m-digit numbers with sum of digits s
if s > 9*m or s < 0 then return [] fi;
if m = 1 then return [s] fi;
[seq(seq(op(map(`+`,procname(j,s-i),10^(m-1)*i)),j=1..m-1),i=1..min(9,s))]
end proc:
seq(op(F(m,6*m)),m=1..3); # Robert Israel, Jan 27 2016

Select[Range[1000],Total[IntegerDigits[#]]==6*IntegerLength[#]&] (* Harvey P. Dale, Dec 20 2014 *)

isok(n) = {digs = digits(n, 10); return(6*#digs == sum(k=1, #digs, digs[k]));} \\ Michel Marcus, Jul 31 2013

More terms from Larry Reeves (larryr(AT)acm.org), May 16 2001

A061387 Sum of digits = 4 times number of digits.

Original entry on oeis.org

4, 17, 26, 35, 44, 53, 62, 71, 80, 129, 138, 147, 156, 165, 174, 183, 192, 219, 228, 237, 246, 255, 264, 273, 282, 291, 309, 318, 327, 336, 345, 354, 363, 372, 381, 390, 408, 417, 426, 435, 444, 453, 462, 471, 480, 507, 516, 525, 534, 543, 552, 561, 570, 606

Offset: 1

Amarnath Murthy, May 03 2001

			147 is a term as the arithmetic mean of the digits is (1+4+7)/3 = 4.

Cf. A061383, A061384, A061385, A061386, A061388, A061423, A061424, A061425.

[ n: n in [1..610] | &+Intseq(n) eq 4*#Intseq(n) ];  // Bruno Berselli, Jun 30 2011

More terms from Larry Reeves (larryr(AT)acm.org), May 16 2001

A285096 Primes with integer arithmetic mean of digits = 2 in base 10.

Original entry on oeis.org

2, 13, 31, 1061, 1151, 1223, 1511, 1601, 2141, 2213, 2411, 3023, 3041, 3203, 3221, 4013, 4211, 5003, 5021, 6011, 6101, 7001, 10009, 10243, 10333, 10513, 10531, 10711, 11071, 11161, 11251, 11503, 11701, 12007, 12043, 12241, 12421, 12511, 12601, 13033, 13411

Offset: 1

Jaroslav Krizek, Apr 16 2017

Jaroslav Krizek, Table of n, a(n) for n = 1..1000

Primes in A061385. Subsequence of A069709.

Sequences of primes such that a(n) = k for k = 1, 2, 4, 5, 7 and 8: A069710 (k = 1), this sequence (k = 2), A285225 (k = 4), A285226 (k = 5), A285227 (k = 7), A285228 (k = 8).

[n: n in [1..100000] | IsPrime(n) and &+Intseq(n) mod #Intseq(n) eq 0 and &+Intseq(n) / #Intseq(n) eq 2];

S:= proc(d,k,flag) option remember;
  if d = 1 then
    if k >= 0 and k <= 9 then return [k]
    else return []
    fi
  fi;
  [seq(op(map(`+`, procname(d-1,k-i,0), i*10^(d-1))),i=flag..min(k,9))]
end proc:
seq(op(select(isprime,S(d,2*d,1))),d=1..5);# Robert Israel, Apr 23 2017

Select[Prime[Range[1600]],Mean[IntegerDigits[#]]==2&] (* Harvey P. Dale, Aug 07 2021 *)

A285093 Corresponding values of arithmetic means of digits of numbers from A061383.

Original entry on oeis.org

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 1, 2, 3, 4, 5, 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, 4, 5, 6, 7, 8, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 1, 2, 3, 1, 2, 3, 1, 2, 3, 4, 2, 3, 4, 2, 3, 4, 2, 3, 4, 5, 3, 4, 5, 3, 4, 5, 3, 4, 5, 6, 4, 5, 6

Offset: 0

Jaroslav Krizek, Apr 14 2017

Jaroslav Krizek, Table of n, a(n) for n = 0..3000

Cf. A061383 (numbers with integer arithmetic mean of digits in base 10).
Sequences of numbers n such that a(n) = k for k = 1 - 9: A061384 (k = 1), A061385 (k = 2), A061386 (k = 3), A061387 (k = 4), A061388 (k = 5), A061423 (k = 6), A061424 (k = 7), A061425 (k = 8), A002283 (k = 9).
Cf. A004426, A004427, A257295 (supersequences).

[0] cat [&+Intseq(n) / #Intseq(n): n in [1..100000] | &+Intseq(n) mod #Intseq(n) eq 0];

lista(nn) = {for (n=0, nn, if (n, d = digits(n), d = [0]); if (!( vecsum(d) % #d), print1(vecsum(d)/#d, ", ")););} \\ Michel Marcus, Apr 15 2017

a(n) = A007953(A061383(n)) / A055642(A061383(n)) for n >= 1.

A316482 Squares whose arithmetic mean of digits is 2 (i.e., the sum of digits is twice the number of digits).

Original entry on oeis.org

21025, 23104, 32041, 36100, 63001, 10125124, 10176100, 10233601, 10530025, 10824100, 11122225, 11303044, 11424400, 12040900, 12103441, 12222016, 12602500, 13315201, 13322500, 14055001, 14600041, 16008001, 16080100, 16810000, 20205025, 20214016, 20611600

Offset: 1

Jon E. Schoenfield, Jul 04 2018

Each term's number of digits is in A174438 (Numbers that are congruent to {0, 2, 5, 8} mod 9). For every positive term k in A174438, this sequence contains at least one k-digit term, with the exception of k=2. (See A316480.)

			145^2 = 21025, a 5-digit number whose digit sum is 2+1+0+2+5 = 10 = 2*5, so 21025 is a term.

Jon E. Schoenfield, Table of n, a(n) for n = 1..10000

Cf. A069711, A174438, A316480.

Intersection of A000290 and A061385. - Michel Marcus, Jul 06 2018

cp's OEIS Frontend

A061388 Sum of digits = 5 times number of digits.

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A061423 Sum of digits = 6 times number of digits.

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A061387 Sum of digits = 4 times number of digits.

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A285096 Primes with integer arithmetic mean of digits = 2 in base 10.

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A285093 Corresponding values of arithmetic means of digits of numbers from A061383.

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A316482 Squares whose arithmetic mean of digits is 2 (i.e., the sum of digits is twice the number of digits).

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