A061386 -id:A061386 - 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

A061385 Numbers n such that sum of digits = twice number of digits.

Original entry on oeis.org

2, 13, 22, 31, 40, 105, 114, 123, 132, 141, 150, 204, 213, 222, 231, 240, 303, 312, 321, 330, 402, 411, 420, 501, 510, 600, 1007, 1016, 1025, 1034, 1043, 1052, 1061, 1070, 1106, 1115, 1124, 1133, 1142, 1151, 1160, 1205, 1214, 1223, 1232, 1241, 1250, 1304

Offset: 1

Amarnath Murthy, May 03 2001

			141 is a term as the arithmetic mean of the digits is (1+4+1)/3 = 2.

Robert Israel, Table of n, a(n) for n = 1..10000

Cf. A061383, A061384, A061386, A061387, A061388, A061423, A061424, A061425.

[ n: n in [1..1310] | &+Intseq(n) eq 2*#Intseq(n) ];  // Bruno Berselli, Jun 30 2011

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(S(d,2*d,1)),d=1..5); # Robert Israel, Apr 23 2017

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

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.

A316483 Squares whose arithmetic mean of digits is 3 (i.e., the sum of digits is 3 times the number of digits).

Original entry on oeis.org

144, 225, 324, 441, 900, 108900, 114921, 119025, 125316, 129600, 136161, 140625, 145161, 159201, 161604, 164025, 176400, 184041, 205209, 210681, 213444, 216225, 219024, 221841, 239121, 242064, 245025, 248004, 254016, 291600, 304704, 308025, 311364, 314721

Offset: 1

Jon E. Schoenfield, Jul 04 2018

Each term's number of digits is divisible by 3. (See A316480.)

			12^2 = 144, a 3-digit number whose digit sum is 1+4+4 = 9 = 3*3, so 144 is a term.
360^2 = 129600, a 6-digit number whose digit sum is 1+2+9+6+0+0 = 18 = 3*6, so 129600 is a term.

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

Cf. A069711, A316480.

Intersection of A000290 and A061386. - 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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A061385 Numbers n such that sum of digits = twice number of digits.

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A061387 Sum of digits = 4 times number of digits.

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

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Magma

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A316483 Squares whose arithmetic mean of digits is 3 (i.e., the sum of digits is 3 times the number of digits).

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