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 A089248 a(n) is the sum of the odd degrees of the irreducible representations of the symmetric group S_n. 3
 1, 2, 2, 8, 12, 40, 144, 128, 644, 3504, 7000, 48224, 130992, 861792, 3257600, 32768, 425988, 5833312, 27621672, 415526656, 1987852432, 17674429440, 157807273408, 265515959680, 2848581615344, 30980959604096, 114059874705248, 1365388896050048, 6215927122198944 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS a(n) is divisible by 4 for n >= 4. - Eric M. Schmidt, Apr 28 2013 REFERENCES John McKay, Irreducible representations of odd degree, Journal of Algebra 20, 1972 pages 416-418. LINKS Eric M. Schmidt, Table of n, a(n) for n = 1..200 Eric M. Schmidt, Sage code to compute this sequence FORMULA a(2^n) = 2^(2^n - 1). - Eric M. Schmidt, Apr 28 2013 PROG (Sage) # Simple but inefficient; see links for faster code def A089248(n) : ....res = 0 ....for P in Partitions(n) : ........deg = P.dimension() ........if is_odd(deg) : res += deg ....return res end; # Eric M. Schmidt, Apr 28 2013 CROSSREFS Cf. A059867, A000085. Sequence in context: A014236 A087955 A026537 * A006663 A094941 A002785 Adjacent sequences:  A089245 A089246 A089247 * A089249 A089250 A089251 KEYWORD nonn AUTHOR Yuval Dekel (dekelyuval(AT)hotmail.com), Dec 11 2003 EXTENSIONS More terms from Eric M. Schmidt, Apr 28 2013 STATUS approved

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Last modified January 26 23:05 EST 2020. Contains 331289 sequences. (Running on oeis4.)